A sum becomes Rs. 15,500 in 7 years on simple interest at the rate of 30 percent per annum. What is the total interest for the 7 years?

Question

Question

This question was previously asked in

SSC CGL 2022 Tier-I Official Paper (Held On : 03 Dec 2022 Shift 4)

Answer 1

Given:

Sum becomes Rs. 15500

Rate of interest (r) = 30% per annum

Time period (t) = 7 years

Formula used:

Simple interest (S.I) = (Prt/100)

Where,

P = principal amount

r = rate of interest

t = time period

Calculation:

If the sum becomes Rs. 16000 Means,

[P + (S.I)] = sum

⇒ [P + (Prt /100)] = sum

⇒ [P + (P × 30 × 7)/ 100] = 15500

⇒ [P + (P × 210/100)] = 15500

⇒ [P + (21P/10)] = 15500

⇒ [31P/10] = 15500

⇒ P = 15500 × (10/31)

⇒ P = 5000

So, S.I = 15500 - 5000

⇒ Rs. 10500

∴ The total interest for the 7 years is Rs. 10500.