SSC CGL 2023 PYQ — Question 75

SSC CGL - 26 Jul 2023 - Shift 1 • Quantitative Aptitude • Q75

At what rate percent per annum simple interest, a sum of money triple itself in 16 years?

Show answer & explanation

Correct answer: D

Explanation

The correct answer is option 4 i.e. 12.5%.

Let the sum of money be Rs. P and the rate of interest be R.

The sum of money triples itself in 16 years, it means amount after 16 years is Rs. 3P.

Now, Simple interest, SI=P×R×T100SI = {{P \times R \times T}\over 100}

Also, SI = Amount - Principal

⇒ 3P - P = P×R×16100{{P \times R \times 16}\over 100}

⇒ 2P = P×R×425{{P \times R \times 4}\over 25}

⇒ 50 = 4R

⇒ R = 12.5

Hence the required rate of interest is 12.5%.