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Simple & Compound Interest · Question 45 of 60

Question 45

HardOriginal question

At what rate per annum, compounded annually, will ₹15,625 amount to ₹17,576 in 3 years?

Options for question 45

Show the answer and explanation
CorrectNot quiteAnswer A

Correct answer: A

Explanation

  1. (1+R100)3=1757615625(1 + \frac{R}{100})^3 = \frac{17576}{15625}.

  2. Notice 15625=25315625 = 25^3 and 17576=26317576 = 26^3, so 1+R100=2625=1.041 + \frac{R}{100} = \frac{26}{25} = 1.04.

  3. R=4%R = 4\% per annum.

Worth noting

Treating the growth of ₹1,951 as simple interest over 3 years gives about 4.16%. With compounding the cube root is needed, and spotting the cubes 25³ and 26³ makes it quick.

Concept
Finding the rate at compound interest for 3 years
Typical time
100 s
Your time
—
The rule this testsCompound interest
Practise this chapter →

Ten questions from Simple & Compound Interest, at your own pace.

Practise this chapter →

Ten questions from Simple & Compound Interest, at your own pace.