At simple interest, a sum doubles itself in 8 years. The annual rate is:
A8%
B12.5%
C10%
D15%
Answer & Solution
Correct answer: B. 12.5%
1. Doubling means the interest earned equals the original principal.
2. Take the principal as 100, so the interest over 8 years must also be 100.
3. Simple interest gives 100 x R x 8 / 100 = 100.
4. So 8R = 100, giving R = 12.5.
5. The rate is 12.5 per cent per annum. Note this only works for simple interest; under compounding the sum would double sooner.
_Source: syllabus Maths, Ch 7 'Comparing Quantities', S7.4 Compound Interest_
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