GMATNinja
In August, Mr. Zelensky’s earnings were 40% of the total earnings of the Zelensky household. In September, Mr. Zelensky earned 20% less than he did in August. If the rest of the family’s income remained the same in August and September, Mr. Zelensky’s earnings were closest to what percentage of the total Zelensky family income in September?
(A) 20
(B) 28
(C) 32
(D) 35
(E) 40
Let's assume the total earnings of the Zelensky household in August to be 100. Therefore, Mr. Zelensky earned 40 out of the 100 in August.
In September, Mr. Zelensky earned 20% less than what he earned in August, which means he earned 0.8 times his August earnings. Therefore, his September earnings are:
0.8 * 40 = 32The rest of the family's income remained the same, so the total income of the Zelensky family in September is:
32 + 60 = 92Now, we can find the percentage of Mr. Zelensky's earnings to the total Zelensky family income in September:
(32/92) * 100 = 34.78, which is closest to
35.
Therefore, the answer is (D) 35.