SSC Selection Post 2022 PYQ — Question 70

SSC Selection Post - Matriculation Level - 1 Aug 2022 - Shift 1 • Quantitative Aptitude • Q70

The compound interest on ₹50,000 at the rate of 7% per annum compounded annually, for a certain period of time, is ₹7,245. Find the time period(in years).

Show answer & explanation

Correct answer: B

Explanation

The correct answer is option 2 i.e. 2.

Amount(A) = Principal(P) + Interest

⇒ A = 50000 + 7245 = 57245

⇒ A = P(1 + R100R\over100)T

here, T = Time, R = Rate

⇒ 57245 = 50000(1 + 71007\over100)T

⇒ 572455000057245\over50000 = (1 + 71007\over100)T

Go through the options

Time = 2

⇒ 572455000057245\over50000 = (1 + 71007\over100)2

⇒ 107100107\over100 = (1 + 71007\over100)

⇒ 107100107\over100 = 107100107\over100 (satisfy)