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.14520 and at the end of third year he paid Rs.26620 and cleared his dues. Find the sum he borrowed.

Options:

Rs.32000

Rs.10800

Rs.11600

Rs.12400

Correct Answer:

Rs.32000

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 – 14520] × [\(\frac{11}{10}\)] = 26620

⇒ 121x – 14520 = 24200

⇒ 121x = 38720

⇒ 100x = 32000