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In how many years will a certain sum of money at simple interest becomes 9 times of itself at 25% per annum?
1. 32
2. 34
3. 30
4. 36

1 Answer

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Best answer
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.

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