Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Numerical Ability

Topic

Compound Interest

Question:

If the difference between the compound interest and simple interest at 17% on a sum of money for 2 years (compounded annually) is ₹433.50, then the sum (in ₹) is:

Options:

15,000

25,000

20,000

12,000

Correct Answer:

15,000

Explanation:

Simple interest of 2 years = 17% + 17% = 34%

Compound interest of 2 years = 17 + 17 + \(\frac{17×17}{100}\)

= 34 + 2.89

= 36.89%

Difference b/w CI and SI = 36.89 - 34 = 2.89%

ATQ,

2.89% = 433.50

1% = \(\frac{433.50}{2.89 }\) = 150

Initial Sum = 100% = 100 × 150 = 15000