SSC CHSL 2022 PYQ — Question 55

SSC CHSL - 26 May 2022 - Shift 2 • Quantitative Aptitude • Q55

Compute the compound interest on ₹ 8,400 for one and half years at 12% rate of interest per annum, compounded half yearly. 

Show answer & explanation

Correct answer: D

Explanation

The correct answer is option 4 i.e. ₹ 1,604.50

Given :

P = ₹ 8,400

T = 3/2 years 

R = 12%

When the interest is compounded half-yearly,

T = 2T = 3 years

R = R/2 = 12/2 = 6%

Concept Used :

Amount=P(1+R100)TAmount =P ( 1 +{R \over 100})^T

Interest = Amount - Principle

Now, A = 8,400 (1 + 6/100)3

A = 8,400 × (53/50)3

A = 10,004.5

Now, Interest = 10,004.5 - 8,400

Interest = 1604.5

Hence the interest is ₹ 1,604.50.