SSC Selection Post 2020 PYQ — Question 75

SSC Selection Post - Matriculation Level 2020 - 14 Nov 2020 - Shift 1 • Quantitative Aptitude • Q75

What is the compound interest on a sum of ₹13,000 at 15% p.a. in 2 years, if the interest is compounded 8-monthly?

Show answer & explanation

Correct answer: D

Explanation

The correct answer is option 4 i.e. ₹4,303.

CI = P(1 + R100R\over100)T - P

here, CI = Compoiund interest, P = Principal, R = Rate, T = Time

1 year = 12 months ⇒ 2 years = 24 months

Number of periods (n) = 24/8 = 3

Periodic rate = 15% ÷ 12812\over8 = 15% × 8128\over12 = 10% 

⇒ CI = 13000 × (1 + R100R\over100)T - P

⇒ CI = 13000 × (1 + 1010010\over100)3 - 13000

⇒ CI = 13000 × (1.1)3 - 13000

⇒ CI = 13000(1.331 - 1) - 13000

⇒ CI = 13000 × 0.331 = ₹4303