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Simple & Compound Interest · Question 39 of 60

Question 39

MediumOriginal question

A sum doubles itself in 5 years at compound interest, compounded annually. In how many years will it become 8 times itself?

Options for question 39

Show the answer and explanation
CorrectNot quiteAnswer A

Correct answer: A

Explanation

  1. At compound interest, the sum doubles every 5 years.

  2. 8=2×2×28 = 2 \times 2 \times 2, so it must double three times.

  3. Time = 3×5=153 \times 5 = 15 years.

Worth noting

35 years is the simple-interest answer (interest 7P at P per 5 years). 40 years just multiplies 5 by 8.

Concept
Repeated doubling at compound interest
Typical time
45 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.