A certain sum in Rs is invested at simple interest at x p a for 5 years Had it been invested at x 5 ...........

Quantitative Aptitude (CPO) Compound Interest

A certain sum (in Rs)is invested at simple interest at x % p.a. for 5 years. Had it been invested at (x + 5)% p.a., the simple interest

would have been Rs9,200 more than the earlier one. What is the sum?

This questions was previously asked in

SSC CPO 12th Dec 2019 Shift-1

Rs36,800

Rs35,800

Rs36,400

Rs40,000

- You are given a sum invested for 5 years at x% per annum with simple interest.

- The interest rate is then increased by 5% (x + 5)%.

- The increase in the amount of interest due to this higher rate is Rs 9,200.

- Let's denote the initial sum as 'P' and the original rate as 'x%'.

- At the original rate, the interest I1 = P * x * 5 / 100.

- At the increased rate, the interest I2 = P * (x + 5) * 5 / 100.

- The difference in interest I2 - I1 is Rs 9,200.

- So, P * (x + 5) * 5 / 100 - P * x * 5 / 100 = Rs 9,200.

- Simplifying the equation, we get P * 5 * 5 / 100 = Rs 9,200, leading to P = Rs 36,800.

Option:1- Rs 36,800 is the correct option.

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