A sum, at the compound rate of interest, becomes 2 1/2 times in 6 yr. The same sum becomes what times in 18 yr?

A) 5/2
B) 25/4

C) 125/8
D) 625/16

Correct answer:
C) 125/8

Description for Correct answer:
If sum is x, then x becomes \( \Large \frac{5}{2}x \) in 6 yr.

\( \Large \frac{5}{2}x \) becomes \( \Large \frac{25}{4}x \) in 12 yr.

\( \Large \frac{25}{4}x \) becomes \( \Large \frac{125}{8}x \) in 18 yr.

The sum becomes \( \Large \frac{125}{8}x \) times 1n 18 yr.

Please provide the error details in above question

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