Maths-

General

Easy

Question

# The simple interest on a sum of money at the end of 5 years is of the sum. Find the rate of interest?

Hint:

### We have SI to be of the principal amount.

## The correct answer is: 16%

### Complete step by step solution:

Let the sum of money = P

It is given that times the sum =

We calculate simple interest by the formula,

where P is Principal amount, T is number of years and R is rate of interest

Here, we have , and R = ?

On substituting the known values, we have

On rearranging the above equation, we get

On further simplifications, we get

At 16% rate of interest, the simple interest on a sum of money at the end of 5 years is of sum Itself.

### Related Questions to study

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### Find the solution of the system of equations.

y = 2x + 5

### Find the solution of the system of equations.

y = 2x + 5

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### Format the sentence into converts Spanish grammar.

"My wife buys a new television for my father”

Explanation:-

Because both pronouns "La" and "le" were used in the sentence, the "le" is changed to a "se" in order to fit.

Because both pronouns "La" and "le" were used in the sentence, the "le" is changed to a "se" in order to fit.

### Format the sentence into converts Spanish grammar.

"My wife buys a new television for my father”

GeneralGeneral

Explanation:-

Because both pronouns "La" and "le" were used in the sentence, the "le" is changed to a "se" in order to fit.

Because both pronouns "La" and "le" were used in the sentence, the "le" is changed to a "se" in order to fit.

General

### Find the helping Verbs and Action Verbs in the following sentences.

Helping verb - The verbs which help the main verb.

Action verb - The verb which is associated with some physical process.

Action verb - The verb which is associated with some physical process.

### Find the helping Verbs and Action Verbs in the following sentences.

GeneralGeneral

Helping verb - The verbs which help the main verb.

Action verb - The verb which is associated with some physical process.

Action verb - The verb which is associated with some physical process.

Maths-

### If Rs. 4000 amounts to Rs. 4500 in 2 years, find how much would it amount in 5 years at the same rate of interest?

Complete step by step solution:

Given that principal amount = Rs 4000

Total amount after 2 years = Rs 4500

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 P = 4000 and A = 4500

On substituting in (i) we get SI = 4500 - 4000 = 500

We calculate simple interest by the formula,

where P is Principal amount, T is number of years and R is rate of interest

Here, we have SI = 500,P = 4000 and T = 2 (given)

So, we get

On simplifications, we get 500 = 80R

On dividing both the sides by 80, we get R =

To find the total amount in 5 years.

We have

On substituting the known values in (i), we get total amount in 5 years = A = P + SI = 4000 + 1250 = Rs 5250

Given that principal amount = Rs 4000

Total amount after 2 years = Rs 4500

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 P = 4000 and A = 4500

On substituting in (i) we get SI = 4500 - 4000 = 500

We calculate simple interest by the formula,

where P is Principal amount, T is number of years and R is rate of interest

Here, we have SI = 500,P = 4000 and T = 2 (given)

So, we get

On simplifications, we get 500 = 80R

On dividing both the sides by 80, we get R =

To find the total amount in 5 years.

We have

On substituting the known values in (i), we get total amount in 5 years = A = P + SI = 4000 + 1250 = Rs 5250

### If Rs. 4000 amounts to Rs. 4500 in 2 years, find how much would it amount in 5 years at the same rate of interest?

Maths-General

Complete step by step solution:

Given that principal amount = Rs 4000

Total amount after 2 years = Rs 4500

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 P = 4000 and A = 4500

On substituting in (i) we get SI = 4500 - 4000 = 500

We calculate simple interest by the formula,

where P is Principal amount, T is number of years and R is rate of interest

Here, we have SI = 500,P = 4000 and T = 2 (given)

So, we get

On simplifications, we get 500 = 80R

On dividing both the sides by 80, we get R =

To find the total amount in 5 years.

We have

On substituting the known values in (i), we get total amount in 5 years = A = P + SI = 4000 + 1250 = Rs 5250

Given that principal amount = Rs 4000

Total amount after 2 years = Rs 4500

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 P = 4000 and A = 4500

On substituting in (i) we get SI = 4500 - 4000 = 500

We calculate simple interest by the formula,

where P is Principal amount, T is number of years and R is rate of interest

Here, we have SI = 500,P = 4000 and T = 2 (given)

So, we get

On simplifications, we get 500 = 80R

On dividing both the sides by 80, we get R =

To find the total amount in 5 years.

We have

On substituting the known values in (i), we get total amount in 5 years = A = P + SI = 4000 + 1250 = Rs 5250

Maths-

### Find the solution of the system of equations.

### Find the solution of the system of equations.

Maths-General

Maths-

### Find the solution of the system of equations.

y = 5 - 2x

Substitute the value of x in any of the equation to get the value of y,

When x = -5,

### Find the solution of the system of equations.

y = 5 - 2x

Maths-General

Substitute the value of x in any of the equation to get the value of y,

When x = -5,

Maths-

### At what rate percent per annum will a sum of money double itself in 10 years?

Complete step by step solution:

Formula for total amount = A = P + SI…(i)

where is the total amount, is the principal amount and is simple interest .

Here, A = 2P and

where P is Principal amount, T is number of years and R is the rate of interest.

We have, T = 10 (given) and R = ?

On substituting the known values in (i), we have .

Subtract P from both sides.

Then we have,

On further simplifications, we have

At 10% per annum the sum amount will double itself in 10 years.

Formula for total amount = A = P + SI…(i)

where is the total amount, is the principal amount and is simple interest .

Here, A = 2P and

where P is Principal amount, T is number of years and R is the rate of interest.

We have, T = 10 (given) and R = ?

On substituting the known values in (i), we have .

Subtract P from both sides.

Then we have,

On further simplifications, we have

At 10% per annum the sum amount will double itself in 10 years.

### At what rate percent per annum will a sum of money double itself in 10 years?

Maths-General

Complete step by step solution:

Formula for total amount = A = P + SI…(i)

where is the total amount, is the principal amount and is simple interest .

Here, A = 2P and

where P is Principal amount, T is number of years and R is the rate of interest.

We have, T = 10 (given) and R = ?

On substituting the known values in (i), we have .

Subtract P from both sides.

Then we have,

On further simplifications, we have

At 10% per annum the sum amount will double itself in 10 years.

Formula for total amount = A = P + SI…(i)

where is the total amount, is the principal amount and is simple interest .

Here, A = 2P and

where P is Principal amount, T is number of years and R is the rate of interest.

We have, T = 10 (given) and R = ?

On substituting the known values in (i), we have .

Subtract P from both sides.

Then we have,

On further simplifications, we have

At 10% per annum the sum amount will double itself in 10 years.

Maths-

### Find the solution of the system of equations.

y = 3x

Step 1 of 2:

The LHS of the given set has the same value. Equate the RHS of the set to eradicate the variable y. Thus, we have:

Step 2 of 2 :

Solve the equation using the quadratic formula,

Here,

Here, we get negative value inside the root. Thus, there are no real roots for the set.

The LHS of the given set has the same value. Equate the RHS of the set to eradicate the variable y. Thus, we have:

Step 2 of 2 :

Solve the equation using the quadratic formula,

Here,

Here, we get negative value inside the root. Thus, there are no real roots for the set.

### Find the solution of the system of equations.

y = 3x

Maths-General

Step 1 of 2:

The LHS of the given set has the same value. Equate the RHS of the set to eradicate the variable y. Thus, we have:

Step 2 of 2 :

Solve the equation using the quadratic formula,

Here,

Here, we get negative value inside the root. Thus, there are no real roots for the set.

The LHS of the given set has the same value. Equate the RHS of the set to eradicate the variable y. Thus, we have:

Step 2 of 2 :

Solve the equation using the quadratic formula,

Here,

Here, we get negative value inside the root. Thus, there are no real roots for the set.

General

### Choose the synonyms of 'research'

Correct answer a) Investigation.

Explanation - Research - the systematic investigation into and study of materials and sources in order to establish facts and reach near conclusion

Explanation - Research - the systematic investigation into and study of materials and sources in order to establish facts and reach near conclusion

### Choose the synonyms of 'research'

GeneralGeneral

Correct answer a) Investigation.

Explanation - Research - the systematic investigation into and study of materials and sources in order to establish facts and reach near conclusion

Explanation - Research - the systematic investigation into and study of materials and sources in order to establish facts and reach near conclusion

Maths-

### What sum will yield an interest of Rs. 277.50 for 3 years at 12% per annum?

Complete step by step solution:

Let the sum of money = P

We calculate simple interest by the formula,

where P is Principal amount, T is number of years and R is rate of interest

Here, we have and P = ?

On substitution, we have

On further simplifications we have,36P = 27750

Divide on both the sides by 36.

On dividing, we get P = 770.83 Rupees.

Hence the sum of money = P = 770.83 Rupees.

Let the sum of money = P

We calculate simple interest by the formula,

where P is Principal amount, T is number of years and R is rate of interest

Here, we have and P = ?

On substitution, we have

On further simplifications we have,36P = 27750

Divide on both the sides by 36.

On dividing, we get P = 770.83 Rupees.

Hence the sum of money = P = 770.83 Rupees.

### What sum will yield an interest of Rs. 277.50 for 3 years at 12% per annum?

Maths-General

Complete step by step solution:

Let the sum of money = P

We calculate simple interest by the formula,

where P is Principal amount, T is number of years and R is rate of interest

Here, we have and P = ?

On substitution, we have

On further simplifications we have,36P = 27750

Divide on both the sides by 36.

On dividing, we get P = 770.83 Rupees.

Hence the sum of money = P = 770.83 Rupees.

Let the sum of money = P

We calculate simple interest by the formula,

where P is Principal amount, T is number of years and R is rate of interest

Here, we have and P = ?

On substitution, we have

On further simplifications we have,36P = 27750

Divide on both the sides by 36.

On dividing, we get P = 770.83 Rupees.

Hence the sum of money = P = 770.83 Rupees.

General

### Which of the following is an example of parallel structure?

Correct answer

a) Yesterday, Leon walled to the stare, purchased groceries, and made a delicious diner.

Explanation:-

Parallel structure means using the same patters of words show that two or more ideas have the same level of importance. This can happen at the word, phrase, or clave level. The usual way to join parallel structures is with the use of coordinating conjunctions such as "and" or "or".

a) Yesterday, Leon walled to the stare, purchased groceries, and made a delicious diner.

Explanation:-

Parallel structure means using the same patters of words show that two or more ideas have the same level of importance. This can happen at the word, phrase, or clave level. The usual way to join parallel structures is with the use of coordinating conjunctions such as "and" or "or".

### Which of the following is an example of parallel structure?

GeneralGeneral

Correct answer

a) Yesterday, Leon walled to the stare, purchased groceries, and made a delicious diner.

Explanation:-

Parallel structure means using the same patters of words show that two or more ideas have the same level of importance. This can happen at the word, phrase, or clave level. The usual way to join parallel structures is with the use of coordinating conjunctions such as "and" or "or".

a) Yesterday, Leon walled to the stare, purchased groceries, and made a delicious diner.

Explanation:-

Parallel structure means using the same patters of words show that two or more ideas have the same level of importance. This can happen at the word, phrase, or clave level. The usual way to join parallel structures is with the use of coordinating conjunctions such as "and" or "or".

Maths-

### Find the solution of the system of equations.

Note:

The maximum number of solutions a polynomial of degree two could have is two.

### Find the solution of the system of equations.

Maths-General

Note:

The maximum number of solutions a polynomial of degree two could have is two.

Maths-

### Consider this simple bivariate data set.

a) Draw a scatter plot for the data.

b) Describe the correlation between x and y as positive or negative.

c) Describe the correlation between x and y as strong or weak.

d) Identify any outliers.

Hint:

An outlier is a set of points that lie quite far away from the trend line. The correlation between x and y is strong if the points are clustered around the line. If the slope of the line is negative, then the correlation is negative.

We are asked to plot the scatter graph, check if the correlation between x and y are strong or weak, negative or positive and find any outlier.

Step 1 of 4:

The coordinate points corresponding to the table are:

(13,2.1),(9,4),(2,6.2),(17,1.3),(3,5.5),(6,0.9),(8,3.5),(15,1.6).

The scatter plot based on the given coordinate points is:

Step 2 of 4:

The trend line that best fits the data is:

The line is drawn downwards, which means it has a negative slope. Thus, we can say that the correlation among the variables x and y are negative.

Step 3 of 4:

The points are clustered around the line. They are closely packed. So, the correlation is strong among the variables x and y.

Step 4 of 4:

There exists an outlier in the graph.

It is located at (6, 0.9).

Note:

If the variables increase and decrease together, they would have a positive correlation. Or else, their correlation would be negative.

An outlier is a set of points that lie quite far away from the trend line. The correlation between x and y is strong if the points are clustered around the line. If the slope of the line is negative, then the correlation is negative.

We are asked to plot the scatter graph, check if the correlation between x and y are strong or weak, negative or positive and find any outlier.

Step 1 of 4:

The coordinate points corresponding to the table are:

(13,2.1),(9,4),(2,6.2),(17,1.3),(3,5.5),(6,0.9),(8,3.5),(15,1.6).

The scatter plot based on the given coordinate points is:

Step 2 of 4:

The trend line that best fits the data is:

The line is drawn downwards, which means it has a negative slope. Thus, we can say that the correlation among the variables x and y are negative.

Step 3 of 4:

The points are clustered around the line. They are closely packed. So, the correlation is strong among the variables x and y.

Step 4 of 4:

There exists an outlier in the graph.

It is located at (6, 0.9).

Note:

If the variables increase and decrease together, they would have a positive correlation. Or else, their correlation would be negative.

### Consider this simple bivariate data set.

a) Draw a scatter plot for the data.

b) Describe the correlation between x and y as positive or negative.

c) Describe the correlation between x and y as strong or weak.

d) Identify any outliers.

Maths-General

Hint:

An outlier is a set of points that lie quite far away from the trend line. The correlation between x and y is strong if the points are clustered around the line. If the slope of the line is negative, then the correlation is negative.

We are asked to plot the scatter graph, check if the correlation between x and y are strong or weak, negative or positive and find any outlier.

Step 1 of 4:

The coordinate points corresponding to the table are:

(13,2.1),(9,4),(2,6.2),(17,1.3),(3,5.5),(6,0.9),(8,3.5),(15,1.6).

The scatter plot based on the given coordinate points is:

Step 2 of 4:

The trend line that best fits the data is:

The line is drawn downwards, which means it has a negative slope. Thus, we can say that the correlation among the variables x and y are negative.

Step 3 of 4:

The points are clustered around the line. They are closely packed. So, the correlation is strong among the variables x and y.

Step 4 of 4:

There exists an outlier in the graph.

It is located at (6, 0.9).

Note:

If the variables increase and decrease together, they would have a positive correlation. Or else, their correlation would be negative.

An outlier is a set of points that lie quite far away from the trend line. The correlation between x and y is strong if the points are clustered around the line. If the slope of the line is negative, then the correlation is negative.

We are asked to plot the scatter graph, check if the correlation between x and y are strong or weak, negative or positive and find any outlier.

Step 1 of 4:

The coordinate points corresponding to the table are:

(13,2.1),(9,4),(2,6.2),(17,1.3),(3,5.5),(6,0.9),(8,3.5),(15,1.6).

The scatter plot based on the given coordinate points is:

Step 2 of 4:

The trend line that best fits the data is:

The line is drawn downwards, which means it has a negative slope. Thus, we can say that the correlation among the variables x and y are negative.

Step 3 of 4:

The points are clustered around the line. They are closely packed. So, the correlation is strong among the variables x and y.

Step 4 of 4:

There exists an outlier in the graph.

It is located at (6, 0.9).

Note:

If the variables increase and decrease together, they would have a positive correlation. Or else, their correlation would be negative.

Maths-

### Find the solution of the system of equations.

y = 3x - 5

Step 1 of 3 :

The LHS of the given set has the same value. So, equate the RHS of the set. Thus, we get:

Step 2 of 3 :

Solve the simplified equation;

Step 3 of 3:

Substitute the values of in any of the equation to get the values of y.

when x = -1,

when x = 1,

Thus, the required solutions are ( -1,-8) and (1,-2)

The LHS of the given set has the same value. So, equate the RHS of the set. Thus, we get:

Step 2 of 3 :

Solve the simplified equation;

Step 3 of 3:

Substitute the values of in any of the equation to get the values of y.

when x = -1,

when x = 1,

Thus, the required solutions are ( -1,-8) and (1,-2)

### Find the solution of the system of equations.

y = 3x - 5

Maths-General

Step 1 of 3 :

The LHS of the given set has the same value. So, equate the RHS of the set. Thus, we get:

Step 2 of 3 :

Solve the simplified equation;

Step 3 of 3:

Substitute the values of in any of the equation to get the values of y.

when x = -1,

when x = 1,

Thus, the required solutions are ( -1,-8) and (1,-2)

The LHS of the given set has the same value. So, equate the RHS of the set. Thus, we get:

Step 2 of 3 :

Solve the simplified equation;

Step 3 of 3:

Substitute the values of in any of the equation to get the values of y.

when x = -1,

when x = 1,

Thus, the required solutions are ( -1,-8) and (1,-2)

General

### How many syllables in 'poem'.

Correct answer 5) 2

Explanation - Syllables are small group of sounds that you hear in each word

Each syllable must have a vowel sound.

Explanation - Syllables are small group of sounds that you hear in each word

Each syllable must have a vowel sound.

### How many syllables in 'poem'.

GeneralGeneral

Correct answer 5) 2

Explanation - Syllables are small group of sounds that you hear in each word

Each syllable must have a vowel sound.

Explanation - Syllables are small group of sounds that you hear in each word

Each syllable must have a vowel sound.