In a certain number of years T, the simple interest earned…

In a certain number of years T, the simple interest earned on a certain sum at the rate of 9% per annum is nine-sixteenth of the sum. What is the value of T (in years)?

Show answer & explanation

Correct answer: A

Explanation

The correct answer is Option 1 i.e. $6\frac{1}{4}$ .

Let the principal be ₹P

SI = $9P\over16$

SI = $PRT\over100$

⇒ $9P\over16$ = $PRT\over100$

⇒ $9\over16$ = $9\times T\over100$

⇒ T = $6\frac{1}{4}$ years

SSC Selection Post 2022 PYQ — Question 57