Question

Q 1. (a)Mohan invested a sum of money at an annual simple interest rate of
10%. At the end of 4 years, the amount received by Mohan was Rs 7700
What was the sum invested ?​

Answer 1

Answer:

5500

Step-by-step explanation:

10% for 4 years is 40%

total amount is 100%+40%

140%=7700

100%=5500

Answer 2

The sum invested = Rs. 5500

Given :

• Mohan invested a sum of money at an annual simple interest rate of 10%

• At the end of 4 years, the amount received by Mohan was Rs. 7700

To find :

The sum invested

Formula :

In case of Simple interest

Principal = P

Interest = I

Interest = I Time = t

Rate of interest = r %

Then ,

$\displaystyle \sf{}I = \frac{Prt}{100}$

Solution :

Step 1 of 2 :

Write Principal, Rate of interest, Interest , Time

Here it is given that Mohan invested a sum of money at an annual simple interest rate of 10%

At the end of 4 years, the amount received by Mohan was Rs. 7700

Let sum invested = Principal = P = Rs. x

Interest = I = Rs. (7700 - x)

Time = t = 4 years

Rate of interest = r% = 10%

Step 2 of 2 :

Calculate sum invested

We know that in case of simple interest

$\displaystyle \sf{}I = \frac{Prt}{100}$

$\displaystyle \sf{ \implies }(7700 - x) = \frac{x.10.4}{100}$

$\displaystyle \sf{ \implies }(7700 - x) = \frac{4x}{10}$

$\displaystyle \sf{ \implies }77000 - 10x = 4x$

$\displaystyle \sf{ \implies }77000 = 10x + 4x$

$\displaystyle \sf{ \implies }14x = 77000$

$\displaystyle \sf{ \implies }x = \frac{77000}{14}$

$\displaystyle \sf{ \implies }x = 5500$

Hence sum invested = Rs. 5500

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