Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Numerical Ability

Topic

Compound Interest

Question:

The compound interest on an amount of ₹5120 at the rate of 12.5% (compounded annually) for 3 years is:

Options:

₹2280

₹1960

₹2120

₹2170

Correct Answer:

₹2170

Explanation:

From the formula for compound interest, we know,

C.I = P(1+$\frac{R}{100})^t$– P

 = 5120 [ 1 + \(\frac{12.5}{100}\) ]³ - 5120

 = 5120 [ \(\frac{9}{8}\) × \(\frac{9}{8}\) × \(\frac{9}{8}\) - 1 ]

 = 5120 [ \(\frac{729}{512}\)  - 1 ]

= 5120 [ \(\frac{217}{512}\) ]

= 2170