Question

A sum becomes Rs. 10650 in 5 years. and Rs. 11076 in 6 years at simple interest. What is the sum?

• A. Rs. 8946
• B. Rs. 8740
• C. Rs. 8520
• D. Rs. 8800

Answer 1

Answer:

C. Rs. 8520

Concept Used:

In this type of question, number can be calculated by using the below formula

Formula Used:

If a sum with simple interest rate, amounts to Rs. ‘A’ in y years. and Rs. ‘B’ in z years. then,

$P = \frac{(A\times{z}-B\times{y})}{(z-y)}$

Calculation:

Using the above formulae, we have

⇒ $P = (10650\times{6}-11076\times{5})$

⇒ P = Rs. 8520

∴ Required principal is Rs. 8520 

Alternate Method:

A sum becomes Rs. 10650 in 5 years. and Rs. 11076 in 6 years. at simple interest

Interest of 1 year = 11076 – 10650 = Rs. 426

Interest of 5 year = $426\times{5} = 2130$

∴ Required principal = 10650 – 2130 = Rs. 8520