How many years will a sum of money become sixteen times itself at 30% pa simple interest?

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• At what percent by simple interest will a sum of money double itself in 5 years 4 months?
• Use the formula of total amount and then find the rate of interest R.
• The correct answer is: 18.75%
• Complete step by step solution:Formula for total amount = A = P + SI…(i)where A is the total amount, P is the principal amount and SI is simple interest .Here, A = 2P and SI = where P is Principal amount, T is number of years and R is the rate of interest.We have, T = 5 years and 4 months =  years (given) and R = ?On substituting the known values in (i), we have .Subtract P from both sides.Then we have, So, we have R = 18.75%At 18.75% per annum the sum amount will double itself in 5 years and 4 months.
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• Related Questions to study
• A sum of money lent out at simple interest amounts to Rs. 1240 in 4 years and Rs 1360 in 6 years. Find the sum and rate percent?
• A sum of money lent out at simple interest amounts to Rs. 1240 in 4 years and Rs 1360 in 6 years. Find the sum and rate percent?
• The simple interest on a certain sum is 16/25 of the sum. Find the rate percent and time if both are numerically equal?
• The simple interest on a certain sum is 16/25 of the sum. Find the rate percent and time if both are numerically equal?
• At what rate percent per annum, simple interest will be Rs. 3600 amount to Rs. 4734 in 3 ½ years?
• At what rate percent per annum, simple interest will be Rs. 3600 amount to Rs. 4734 in 3 ½ years?
• A group of friends decided to divide the  cost of a trip equally among themselves. When two of the friends decided not to go on the trip, those remaining still divided the  cost equally, but each friend's share of the cost increased by.  How many friends were in the group originally?
• A group of friends decided to divide the  cost of a trip equally among themselves. When two of the friends decided not to go on the trip, those remaining still divided the  cost equally, but each friend's share of the cost increased by.  How many friends were in the group originally?
• Jaime is preparing for a bicycle race. His goal is to bicycle an average of at least 280 miles per week for 4 weeks. He bicycled 240 miles the first week, 310 miles the second week, and 320 miles the third week. Which inequality can be used to represent the number of miles, x , Jaime could bicycle on the 4th week to meet his goal?
• Jaime is preparing for a bicycle race. His goal is to bicycle an average of at least 280 miles per week for 4 weeks. He bicycled 240 miles the first week, 310 miles the second week, and 320 miles the third week. Which inequality can be used to represent the number of miles, x , Jaime could bicycle on the 4th week to meet his goal?
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• A website-hosting service charges businesses a onetime setup fee of  plus  dollars for each month. If a business owner paid  for the first 12 months, including the setup fee, what is the value of   ?
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• What value of  satisfies the equation above?
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• How many years will a sum double itself at 25% pa simple interest?
• How many years will a sum of money become sixteen times itself at 30% pa simple interest?
• How many years will a certain sum becomes three times itself at 25% per annum under simple interest?
• How many years does a sum of money becomes 3 times itself at 12.5% pa simple interest?

At what percent by simple interest will a sum of money double itself in 5 years 4 months?

Use the formula of total amount and then find the rate of interest R.

The correct answer is: 18.75%

Complete step by step solution:Formula for total amount = A = P + SI…(i)where A is the total amount, P is the principal amount and SI is simple interest .Here, A = 2P and SI = where P is Principal amount, T is number of years and R is the rate of interest.We have, T = 5 years and 4 months =  years (given) and R = ?On substituting the known values in (i), we have .Subtract P from both sides.Then we have, So, we have R = 18.75%At 18.75% per annum the sum amount will double itself in 5 years and 4 months.

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Related Questions to study

Maths-

A sum of money lent out at simple interest amounts to Rs. 1240 in 4 years and Rs 1360 in 6 years. Find the sum and rate percent?

Complete step by step solution:
Let the sum of money = P and rate of interest = R
Case Ⅰ
We calculate simple interest by the formula, 
where P is Principal amount, T is number of years and R is rate of interest
We are given T = 4.
So, Simple interest for 4 years = 
Formula for total amount = A = P + SI,
where A is the total amount, P is the principal amount and SI is simple interest .
We have A = 1240 and .
On substitution, we get …(i)
Case Ⅱ
We calculate simple interest by the formula, 
Here we have T = 6.
So, Simple interest for 6 years = SI = 
Formula for total amount = A = P + SI,
We have A = 1360 and SI = .
On substitution, we get A = 1360 = p + …(ii)
Form (i) and (ii), we have

This can be written as 
On cross multiplication, we get 13600 + 544R = 12400 + 744R
On rearranging the above equation, we get 200R = 1200
Divide on both sides by 200.
On dividing, we get R = 6%
Substitute R = 6% in (ii).
Then we get 1360 = p +

On simplifications, we get P = 1000.
So principal amount P = 1000 Rupees.

A sum of money lent out at simple interest amounts to Rs. 1240 in 4 years and Rs 1360 in 6 years. Find the sum and rate percent?

Maths-General

Complete step by step solution:
Let the sum of money = P and rate of interest = R
Case Ⅰ
We calculate simple interest by the formula, 
where P is Principal amount, T is number of years and R is rate of interest
We are given T = 4.
So, Simple interest for 4 years = 
Formula for total amount = A = P + SI,
where A is the total amount, P is the principal amount and SI is simple interest .
We have A = 1240 and .
On substitution, we get …(i)
Case Ⅱ
We calculate simple interest by the formula, 
Here we have T = 6.
So, Simple interest for 6 years = SI = 
Formula for total amount = A = P + SI,
We have A = 1360 and SI = .
On substitution, we get A = 1360 = p + …(ii)
Form (i) and (ii), we have

This can be written as 
On cross multiplication, we get 13600 + 544R = 12400 + 744R
On rearranging the above equation, we get 200R = 1200
Divide on both sides by 200.
On dividing, we get R = 6%
Substitute R = 6% in (ii).
Then we get 1360 = p +

On simplifications, we get P = 1000.
So principal amount P = 1000 Rupees.

Maths-

The simple interest on a certain sum is 16/25 of the sum. Find the rate percent and time if both are numerically equal?

Complete step by step solution:
Let the sum of money = P
It is given that the simple interest SI is  of the sum, SI =  P
Also given that rate percent and time, both are equal.
That is, R = T
We calculate simple interest by the formula,…(i)
where P is Principal amount, T is number of years and R is rate of interest

Here, we have 
On substituting the known values in (i), we get 
On dividing both the sides by P, we get

Given that rate of interest = time , so R = T = 8
Hence rate percent (R) = 8% and number of years = 8 years

The simple interest on a certain sum is 16/25 of the sum. Find the rate percent and time if both are numerically equal?

Maths-General

Complete step by step solution:
Let the sum of money = P
It is given that the simple interest SI is  of the sum, SI =  P
Also given that rate percent and time, both are equal.
That is, R = T
We calculate simple interest by the formula,…(i)
where P is Principal amount, T is number of years and R is rate of interest

Here, we have 
On substituting the known values in (i), we get 
On dividing both the sides by P, we get

Given that rate of interest = time , so R = T = 8
Hence rate percent (R) = 8% and number of years = 8 years

Maths-

At what rate percent per annum, simple interest will be Rs. 3600 amount to Rs. 4734 in 3 ½ years?

Complete step by step solution:
We know the formula for total amount = A = P + SI…(i)
where A is the total amount, P is the principal amount and SI is simple interest.
Here, we have A = 4734 Rs and P = 3600 Rs
On substituting the known values in (i), we get SI = 4734 - 3600 = 1134
So, we have SI = 1134 Rs
We calculate simple interest by the formula,…(ii)
where P is Principal amount, T is number of years and R is rate of interest
Here, we have SI = 1134,P = 3600 ,T = 3.5 and R = ?
On substituting the known values in (ii), we get

Hence the rate of interest R is 9%.
At 9% per annum, simple interest will be Rs 3600 amount to Rs 4734 in 3.5 years.

At what rate percent per annum, simple interest will be Rs. 3600 amount to Rs. 4734 in 3 ½ years?

Maths-General

Complete step by step solution:
We know the formula for total amount = A = P + SI…(i)
where A is the total amount, P is the principal amount and SI is simple interest.
Here, we have A = 4734 Rs and P = 3600 Rs
On substituting the known values in (i), we get SI = 4734 - 3600 = 1134
So, we have SI = 1134 Rs
We calculate simple interest by the formula,…(ii)
where P is Principal amount, T is number of years and R is rate of interest
Here, we have SI = 1134,P = 3600 ,T = 3.5 and R = ?
On substituting the known values in (ii), we get

Hence the rate of interest R is 9%.
At 9% per annum, simple interest will be Rs 3600 amount to Rs 4734 in 3.5 years.

Maths-

Explanation:

• We have given a group of friends decided to divide  equally, two of them decided to not go on the trip, then the remaining friend’s share of the cost increases by   
• We have to find the number for people were in the group originally .

Step 1 of 2:
Let the number of friends were in the group originally be x.
Then, Contribution of each friend will be .
Now, when two friends decided not to go on trip
Then,
Contribution of each friend become

Step 2 of 2:
According to question, the new cost per friend increased by .
So,

Now we have to solve this above equation.
So,

On further calculation,

Step 3 of 3:
Using factorisation method, we solve above quadratic equation
So,

So, the solutions will be
x = -8
x = 10
Since, The number friends can not be negative.
So,  Will be rejected.
Therefore, x = 10 is the correct answer.
Final answer:
Hence, Number of friends were in the group originally is 10.

Maths-General

Explanation:

• We have given a group of friends decided to divide  equally, two of them decided to not go on the trip, then the remaining friend’s share of the cost increases by   
• We have to find the number for people were in the group originally .

Step 1 of 2:
Let the number of friends were in the group originally be x.
Then, Contribution of each friend will be .
Now, when two friends decided not to go on trip
Then,
Contribution of each friend become

Step 2 of 2:
According to question, the new cost per friend increased by .
So,

Now we have to solve this above equation.
So,

On further calculation,

Step 3 of 3:
Using factorisation method, we solve above quadratic equation
So,

So, the solutions will be
x = -8
x = 10
Since, The number friends can not be negative.
So,  Will be rejected.
Therefore, x = 10 is the correct answer.
Final answer:
Hence, Number of friends were in the group originally is 10.

Maths-

Jaime is preparing for a bicycle race. His goal is to bicycle an average of at least 280 miles per week for 4 weeks. He bicycled 240 miles the first week, 310 miles the second week, and 320 miles the third week. Which inequality can be used to represent the number of miles, x , Jaime could bicycle on the 4th week to meet his goal?

Explanation:

• We have given Jaime the goal is to bicycle an average of at least 280  miles per week, He bicycled miles 240 in the first week, 310 miles in the second week, and  320 miles in the third week.
• We have to find the inequality which represents the distance he has to travel on the fourth day to meet his goals.
• We will first let the distance covered on  day be x and then find the average and then make the inequality.

Step 1 of 1:
As we have given Jaime goal is to bicycle at least 280 miles per week
Now,
let the distance covered on  day be x .
So, The average distance of four days will be

Now, for completing the goal, this average must be greater than or equal to 280 .
So,

On simplification,
We will get,

So, Option (D) is correct.
Final answer:
Hence, The inequality that represents the distance covered on the fourth day, so that Jaime can
complete his goals is 
So, Option (D) is correct.

Jaime is preparing for a bicycle race. His goal is to bicycle an average of at least 280 miles per week for 4 weeks. He bicycled 240 miles the first week, 310 miles the second week, and 320 miles the third week. Which inequality can be used to represent the number of miles, x , Jaime could bicycle on the 4th week to meet his goal?

Maths-General

Explanation:

• We have given Jaime the goal is to bicycle an average of at least 280  miles per week, He bicycled miles 240 in the first week, 310 miles in the second week, and  320 miles in the third week.
• We have to find the inequality which represents the distance he has to travel on the fourth day to meet his goals.
• We will first let the distance covered on  day be x and then find the average and then make the inequality.

Step 1 of 1:
As we have given Jaime goal is to bicycle at least 280 miles per week
Now,
let the distance covered on  day be x .
So, The average distance of four days will be

Now, for completing the goal, this average must be greater than or equal to 280 .
So,

On simplification,
We will get,

So, Option (D) is correct.
Final answer:
Hence, The inequality that represents the distance covered on the fourth day, so that Jaime can
complete his goals is 
So, Option (D) is correct.

Maths-

A website-hosting service charges businesses a onetime setup fee of  plus  dollars for each month. If a business owner paid  for the first 12 months, including the setup fee, what is the value of   ?

Explanation:

• It is given that the website hosting service charges a one-time setup fee of and  dollar for each month and the owner paid  for the first  months.

• We have to find the value of 
• We will first make a general equation for  x months and then by putting the all values, we can easily find the value  .
• Step 1 of 1:
  We know that the hosting service charges a one-time setup fee of  and  dollar for each month.
  Now, for one month they charge  a dollar.
  So, For 12 months, They will charge 12×
  And the initial setup charge is  .
  So, The total amount will be
   dollar.
  

Step 2 of 2:
Now it is given that for the first 12 months the total charge is .
So,

On further calculation,

Therefore, Option (D) is correct.
Final answer:
Hence, The value of   is 55
So, Option (D) is correct

A website-hosting service charges businesses a onetime setup fee of  plus  dollars for each month. If a business owner paid  for the first 12 months, including the setup fee, what is the value of   ?

Maths-General

Explanation:

• It is given that the website hosting service charges a one-time setup fee of and  dollar for each month and the owner paid  for the first  months.

• We have to find the value of 
• We will first make a general equation for  x months and then by putting the all values, we can easily find the value  .
• Step 1 of 1:
  We know that the hosting service charges a one-time setup fee of  and  dollar for each month.
  Now, for one month they charge  a dollar.
  So, For 12 months, They will charge 12×
  And the initial setup charge is  .
  So, The total amount will be
   dollar.
  

Step 2 of 2:
Now it is given that for the first 12 months the total charge is .
So,

On further calculation,

Therefore, Option (D) is correct.
Final answer:
Hence, The value of   is 55
So, Option (D) is correct

Maths-

What value of  satisfies the equation above?

Explanation:

• We have given a linear expression .
• We have to find the value of x.
• We will use basic mathematical operations to solve the given linear equation.

Step 1 of 1:
We have expression .
On further calculation, we will get

2x = 62
x = 31
Therefore, x = 31 is the value of x, that satisfies the given equation.
Final answer:
The value of x, that satisfies the equation  is x = 31.

What value of  satisfies the equation above?

Maths-General

Explanation:

• We have given a linear expression .
• We have to find the value of x.
• We will use basic mathematical operations to solve the given linear equation.

Step 1 of 1:
We have expression .
On further calculation, we will get

2x = 62
x = 31
Therefore, x = 31 is the value of x, that satisfies the given equation.
Final answer:
The value of x, that satisfies the equation  is x = 31.

Maths-

A laboratory supply company produces graduated cylinders, each with an internal radius of 2 inches and an internal height between 7.75 inches and 8 inches. What is one possible volume, rounded to the nearest cubic inch, of a graduated cylinder produced by this company?

Explanation:

• We have given the internal radius of a cylinder is 2 inches and the internal height varies between 7.75 to 8 inches
• We have to find any one possible volume, rounded to the nearest cubic inch, of the cylinder.

Step 1 of 1:
We know that the volume of a cylinder is .
And it is given that 
h = height = between 7.75 and 8 inches
There are many possible values depending on the value of h. Any value of  is valid between 7.75 and 8 inches. But the question asked for just one possible value, so we will be using just h = 7.75

Final answer:
Hence, The possible volume, rounded to the nearest cubic inch, of the cylinder is 97.

A laboratory supply company produces graduated cylinders, each with an internal radius of 2 inches and an internal height between 7.75 inches and 8 inches. What is one possible volume, rounded to the nearest cubic inch, of a graduated cylinder produced by this company?

Maths-General

Explanation:

• We have given the internal radius of a cylinder is 2 inches and the internal height varies between 7.75 to 8 inches
• We have to find any one possible volume, rounded to the nearest cubic inch, of the cylinder.

Step 1 of 1:
We know that the volume of a cylinder is .
And it is given that 
h = height = between 7.75 and 8 inches
There are many possible values depending on the value of h. Any value of  is valid between 7.75 and 8 inches. But the question asked for just one possible value, so we will be using just h = 7.75

Final answer:
Hence, The possible volume, rounded to the nearest cubic inch, of the cylinder is 97.

Maths-

In the xy-plane, the graph of  intersects the graph of y =x at the points (0,0) and (a, a). What is the value of a?

Explanation:

• We have given two functions
• We have to find the point of intersection of the two given graphs.
• We will solve both equations and then find the point of intersection.

In the xy-plane, the graph of  intersects the graph of y =x at the points (0,0) and (a, a). What is the value of a?

Maths-General

Explanation:

• We have given two functions
• We have to find the point of intersection of the two given graphs.
• We will solve both equations and then find the point of intersection.

Maths-

Snow fell and then stopped for a time. When the snow began to fall again, it fell at a faster rate than it had initially. Assuming that none of the snow melted during the time indicated, which of the following graphs could model the total accumulation of snow versus time?

Explanation:

• We have given a snow fell and then stopped for time, and then began to fall again with faster rate.
• We have to plot the graph of acceleration with time

Step 1 of 1:
It starts with an increase in acceleration with time (indicating snow fall) until it reaches a time where acceleration becomes constant (no acceleration, which means no snow fall). This continued for a period of time. After a certain period of time, the acceleration increased rapidly (at a rate faster than the initial) over time
So, Option (A) is correct.
Graph will be

Snow fell and then stopped for a time. When the snow began to fall again, it fell at a faster rate than it had initially. Assuming that none of the snow melted during the time indicated, which of the following graphs could model the total accumulation of snow versus time?

Maths-General

Explanation:

• We have given a snow fell and then stopped for time, and then began to fall again with faster rate.
• We have to plot the graph of acceleration with time

Step 1 of 1:
It starts with an increase in acceleration with time (indicating snow fall) until it reaches a time where acceleration becomes constant (no acceleration, which means no snow fall). This continued for a period of time. After a certain period of time, the acceleration increased rapidly (at a rate faster than the initial) over time
So, Option (A) is correct.
Graph will be

Maths-

Explanation:

• We have given an equation  .
• We have to find the value of x .
• We will simplify the given equation first and then solve it.

Step 1 of 1:
We have given an equation 
Now on further simplification, we get

Squaring, both sides, we will get
x = 5
Final answer:
Hence, The value of  for equation   will be x = 25.
I e, Option (c) is correct.

Maths-General

Explanation:

• We have given an equation  .
• We have to find the value of x .
• We will simplify the given equation first and then solve it.

Step 1 of 1:
We have given an equation 
Now on further simplification, we get

Squaring, both sides, we will get
x = 5
Final answer:
Hence, The value of  for equation   will be x = 25.
I e, Option (c) is correct.

Maths-

The line with the equation  is graphed in the xy-plane. What is the x-coordinate of the x-intercept of the line?

Explanation:

• We have given a equation of line .
• We have to find the x-coordinate of the x-intercept of the line.

Step 1 of 1:
We have given a equation  
For x-intercept, we know that y-coordinate = 0
So,

So, The  x-coordinate of the x-intercept of the line  is

.

The line with the equation  is graphed in the xy-plane. What is the x-coordinate of the x-intercept of the line?

Maths-General

Explanation:

• We have given a equation of line .
• We have to find the x-coordinate of the x-intercept of the line.

Step 1 of 1:
We have given a equation  
For x-intercept, we know that y-coordinate = 0
So,

So, The  x-coordinate of the x-intercept of the line  is

.

Maths-

The table above shows some values of the functions w and t . For which value of x is  ?

Explanation:

• We have given a table of data of the function w (x) and t (x) for different values of x
• We have to find for what value of x,
• Now, we will put the different values of  , and x  from the table and then find the for what x the given condition is true.

Step 1 of 1:
As given in the question, we have a table of functions w (x) and t(x) for different values of x.
i e,

Now, for x = 1

Here,

For x = 2,

2
Here we can say

For x = 3

5

3 + 3
6

So, Option (b) is correct

Final answer:
Hence, For x = 2, the condition w(x) + t(x) = x is true.

The table above shows some values of the functions w and t . For which value of x is  ?

Maths-General

Explanation:

• We have given a table of data of the function w (x) and t (x) for different values of x
• We have to find for what value of x,
• Now, we will put the different values of  , and x  from the table and then find the for what x the given condition is true.

Step 1 of 1:
As given in the question, we have a table of functions w (x) and t(x) for different values of x.
i e,

Now, for x = 1

Here,

For x = 2,

2
Here we can say

For x = 3

5

3 + 3
6

So, Option (b) is correct

Final answer:
Hence, For x = 2, the condition w(x) + t(x) = x is true.

Maths-

Solve each inequality and graph the solution :

Step 1 of 2:
Find the LCM of the inequality;
.
Take out the eight from the inequality. Thus, we have:
.
Now, rearrange them to solve the inequality;

Step 2 of 2:
Graph the solution of the inequality;

Solve each inequality and graph the solution :

Maths-General

Step 1 of 2:
Find the LCM of the inequality;
.
Take out the eight from the inequality. Thus, we have:
.
Now, rearrange them to solve the inequality;

Step 2 of 2:
Graph the solution of the inequality;

Maths-

The graph above shows the positions of Paul and Mark during a race. Paul and Mark each ran at a constant rate, and Mark was given a head start to shorten the distance he needed to run. Paul finished the race in 6 seconds, and Mark finished the race in 10 seconds. According to the graph, Mark was given a head start of how many yards?

Explanation:

• It is given that that the paul finished the race in 6 second and Mark finished it in 10 second
• We have to find how many yards mark was given a head start.

Step 1 of 1:
According to graph
1unit is equal to 6 yards
So, The total yard given to mark is
12+6
18

The graph above shows the positions of Paul and Mark during a race. Paul and Mark each ran at a constant rate, and Mark was given a head start to shorten the distance he needed to run. Paul finished the race in 6 seconds, and Mark finished the race in 10 seconds. According to the graph, Mark was given a head start of how many yards?

Maths-General

Explanation:

• It is given that that the paul finished the race in 6 second and Mark finished it in 10 second
• We have to find how many yards mark was given a head start.

Step 1 of 1:
According to graph
1unit is equal to 6 yards
So, The total yard given to mark is
12+6
18

How many years will a sum double itself at 25% pa simple interest?

T = (x * 100)/(x * 25/4) = 16 years..........

How many years will a sum of money become sixteen times itself at 30% pa simple interest?

In how many years will a sum of money become sixteen times itself at 30% p.a. simple interest? Hence, In 50 years, the given principal will become 16 times of itself.

How many years will a certain sum becomes three times itself at 25% per annum under simple interest?

∴ Time is 8 years.

How many years does a sum of money becomes 3 times itself at 12.5% pa simple interest?

Solution : Let T years be the required time period.
Given that,
Amount `(A)=3 xx ` Principal (P)
`therefore P(1+(TR)/(100))=3P`
`implies 1+(12T)/(100)=3 implies T=(200)/(12)=16(2)/(3)` years
Hence, required time period`=16(2)/(3)` years.

How long will it take for a sum of money invested at 5% pa at simple interest to increase its value by 40%?

How many years will a sum of money double at 5% pa compound interest?

In what time will a sum becomes double of itself at 12 1 by 2% per annum simple interest?

In what time will the sum of money become three times at a simple?