An amount of 2040 is to be divided among three friends x, y and z. Friend z is to be given two-thirds of what y has to be given, and y has to be given one-fourth of that of x. How much money will y receive?
A360 ✓ Correct
B1440
C240
D600
Correct answer: (A) 360
Explanation
y receives 360.
Given z = (2/3)y and y = (1/4)x, so x = 4y.
Total x + y + z = 4y + y + (2/3)y = (17/3)y.
Set (17/3)y = 2040.
y = 2040 x 3 / 17 = 360.
Expressing all shares through y gives the answer.
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