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A sum of money doubles in 14 years. In how many years would it triple if…

Paper 1 · Mathematical Reasoning and Aptitude UGC NET June 2023 (13.06.2023) Shift-II
A sum of money doubles in 14 years. In how many years would it triple if the rate of interest is considered as simple?
A25 years
B28 years ✓ Correct
C18 years
D23 years
Correct answer: (B) 28 years — The sum triples in 28 years, so the answer is 28 years.
Explanation
The sum triples in 28 years, so the answer is 28 years.
Under simple interest the interest earned each year is constant.
Doubling means the interest equals the principal, earned over 14 years.
So the yearly interest is one-fourteenth of the principal.
Tripling means the interest must equal twice the principal.
At the same yearly rate, twice the principal takes twice the time, which is 28 years.
This proportional shortcut works only for simple interest, where interest grows linearly with time.

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