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Simple & Compound Interest · Question 33 of 60

Question 33

MediumOriginal question

Kiran invests ₹16,000 at 10% per annum, compounded half-yearly. What is the amount after 1 year?

Options for question 33

Show the answer and explanation
CorrectNot quiteAnswer C

Correct answer: C

Explanation

  1. Half-yearly: rate per half-year = 10%÷2=5%10\% \div 2 = 5\%, and 1 year = 2 half-years.

  2. Amount = 16000×(1.05)2=16000×1.1025=1764016000 \times (1.05)^2 = 16000 \times 1.1025 = 17640.

  3. The amount is ₹17,640.

Worth noting

₹17,600 compounds only once (annually). ₹19,360 wrongly uses 10% for each half-year; the yearly rate must be halved.

Concept
Half-yearly compounding: halve the rate, double the periods
Typical time
50 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.