Question : At a certain rate of simple interest per annum, a certain sum amounts to INR 24,000 in 7 years and to INR 32,000 in 12 years. What is the rate of simple interest paid per annum?
Option 1: 15%
Option 2: 25%
Option 3: 12.5%
Option 4: 20%
Correct Answer: 12.5%
Solution :
Given: At a certain rate of simple interest per annum, a certain sum amounts to INR 24,000 in 7 years and to INR 32,000 in 12 years.
So, simple interest of 5 years = INR 32000 – INR 24000 = INR 8,000
⇒ Simple interest of 7 years = 1600 × 7 = INR 11,200
Principal = The amount in 7 years – The simple interest of 7 years = 24000 – 11200 = INR 12,800
We know, Simple interest =
⇒
⇒ Rate
Hence, the correct answer is 12.5%.