SSC MTS 2024 PYQ — Question 7

SSC MTS - 22/10/2024 - (12:30 PM - 2:30 PM) • Quantitative Aptitude • Q7

A person borrow some money on simple interest. After 15 years, the simple interest will be 19/15 of the borrowed amount. What is the rate of interest per annum?

Show answer & explanation

Correct answer: B

Explanation

The correct answer is option 2 i.e 849%8\frac{4}{9}\% .

Let the borrowed amount (principal) be P.

Simple interest after 15 years = 19/15 of P

SI = (P × R × T) / 100 = (19/15) × P = (P × R × 15) / 100

⇒ 19/15 = (R × 15) / 100

⇒ (19/15) × 100 = R × 15

⇒ (1900 / 15) = R × 15

⇒ R = (1900 / 15) / 15 = 1900 / 225 = 849%8\frac{4}{9}\%