# Sam divides his income between his wife, son and two daughters in certain ratio. Sam gives 20 % to his son, 35 % to his wife and the remaining percentage of his savings is divided equally between his two daughters. Find the approximate amount that his wife receives if both of his daughters receive an equal amount of \$ 250.

Sam divides his income between his wife, son and two daughters in certain ratio. Sam gives 20 % to his son, 35 % to his wife and the remaining percentage of his savings is divided equally between his two daughters.
Find the approximate amount that his wife receives if both of his daughters
receive an equal amount of \$ 250.

Here I have given possible answers, Now tell me which one is correct?

a. \$ 250
b. \$ 350
c. \$ 450
d. \$ 460
e. None of the above

Let ‘x’ be the total amount that is saved by Sam and divided between his wife, son and the two daughters.
According to the given question,

% of total amount received by son = 20 % ………i
∴ Amount received by his son = (20 * x)/100 = \$ x/5 …….ii
% of total amount received by his wife = 35 % …….ii
∴ Amount received by his wife = (35/100) * (x – (x/5)) = \$ 7x/4 ……..iii
% of total amount received by each of his daughter’s = (1/2) * (x – (x/5) – (7x/4))……………iv
But, it is given that, each of the two daughters receive an amount of \$ 250.
∴ (1/2) * (x – (x/5) – (7x/4)) = 250
∴ 19x/20 = 250
∴ x = (250 * 20) / 19
∴ x = \$263.15 ………………v
∴ Amount received by his wife = (35/100) * (x – (x/5)) = \$ 7x/4 = (7 * 263.15) / 4
∴ Amount received by his wife = \$460.5125
Hence, the correct answer is option d.

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