After two successive increments, Gopal's salary became 187.5% of his initial salary. If the percentage ofsalary increase in the second increment was twice of that in the first increment, then the percentage ofsalary increase in the first increment was

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Question :

After two successive increments, Gopal's salary became 187.5% of his initial salary. If the percentage of
salary increase in the second increment was twice of that in the first increment, then the percentage of
salary increase in the first increment was

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0 7

A.
30
B.
27.5
C.
25
D.
20

Option C is the correct answer.

Explanatory Answer

Initial salary = 100
After two successive increments, final salary = 187.5
First increment = x%
Second increment =2x%

\Rightarrow 100 (1 + x %) (1 + 2 x %) = 187.5

Going from the options, $x = 25 %$

The question is "After two successive increments, Gopal's salary became 187.5% of his initial salary. If the percentage of salary increase in the second increment was twice of that in the first increment, then the percentage of salary increase in the first increment was"