Arun’s salary is decreased by 50% and then subsequently increased by 50%. What percent of his salary does he lose?

75%

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25%

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37.5%

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None of these

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Solution

The correct option is B
25%

Reduced salary = $\frac{x}{2}$

Increased salary = $\frac{x}{2}$ + $\frac{x}{4}$ = $\frac{3 x}{4}$

Therefore, loss of salary = x - $\frac{3 x}{4}$ = $\frac{x}{4}$ = 25%

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Arun’s salary is decreased by 50% and then subsequently increased by 50%. What percent of his salary does he lose?

The correct option is B 25% Reduced salary = x2 Increased salary = x2 + x4 = 3x4 Therefore, loss of salary = x - 3x4 = x4 = 25%

The correct option is B
25%

Reduced salary = $\frac{x}{2}$

Increased salary = $\frac{x}{2}$ + $\frac{x}{4}$ = $\frac{3 x}{4}$

Therefore, loss of salary = x - $\frac{3 x}{4}$ = $\frac{x}{4}$ = 25%