Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Numerical Ability

Topic

Compound Interest

Question:

A person borrows some money at the rate of 10% p.a. compound interest for three years. At the end of second years he deposit Rs. 7260 and at the end of third year he paid Rs.13310 and cleared his dues. Find the sum he borrowed.

Options:

Rs. 20570

Rs. 19550

Rs. 16000

Rs. 14250

Correct Answer:

Rs. 16000

Explanation:

Let the sum borrowed = 100x

Amount after 2 years at the rate of 10% =  100x × [\(\frac{11}{10}\)] × [\(\frac{11}{10}\)] = 121x

Now,

[121x – 7260] × [\(\frac{11}{10}\)] = 13310

⇒ 121x – 7260 = 12100

⇒ 121x = 19360

⇒ 100x = 16000