megafan wrote:

In February Wilson’s earnings were 40 percent of his family’s total income. In March Wilson earned 25 percent less than in February. If the rest of his family’s income was the same in both months, then, in March, Wilson’s earnings were approximately what percent of his family’s total income?

(A) 15%

(B) 17%

(C) 24%

(D) 30%

(E) 33%

Source: Gmat Hacks 1800

Lets suppose the Total Family income in Feb = 100x

Wilson's earning in Feb = 40% of 100x = 40x

Earnings of remaining family in Feb = 100x - 40x = 60x

Wilson's earning in March = 75% of Wilson's Feb earnings = 75% of 40x = 30x

Earnings of remaining family in March = Earnings of remaining family in Feb = 60x

Thus Wilson's earning as % of Total family income in March = 30x/ (30+60)x = 30x/90x = 33.33%

Thus Answer is E

Hope it helps.

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