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Simple & Compound Interest · Question 34 of 60

Question 34

MediumOriginal question

Find the compound interest on ₹20,000 for 1121\frac{1}{2} years at 20% per annum, compounded half-yearly.

Options for question 34

Show the answer and explanation
CorrectNot quiteAnswer C

Correct answer: C

Explanation

  1. Rate per half-year = 10%; number of half-years in 1121\frac{1}{2} years = 3.

  2. Amount = 20000×(1.1)3=20000×1.331=2662020000 \times (1.1)^3 = 20000 \times 1.331 = 26620.

  3. CI = ₹26,620 − ₹20,000 = ₹6,620.

Worth noting

₹6,000 is simple interest; ₹6,400 compounds yearly (20% for a year, then 10% for the half-year); ₹14,560 uses 20% for each half-year.

Concept
Compound interest with half-yearly compounding over 3 periods
Typical time
60 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.