Correct Answer - Option 1 : 32
Given:
Amount = 9 × Principal
Rate = 25%
Formula used:
Simple Interest = (Principal × Rate × Time)/100
Simple Interest = Amount - Principal
Calculation:
Let the sum be Rs. x and the number of years be t
According to the question,
Amount = 9x
Simple Interest = Amount - Principal
⇒ Simple Interest = 9x – x = 8x
Simple Interest = (Principal × Rate × Time)/100
⇒ 8x = (x × 25 × t)/100
⇒ t = 32
∴ In 32 years, the sum becomes 9 times itself.