X can construct a wall in 2 days. Y can construct it in 3 days and Z can construct it in 4 days. If they construct the wall, working together and receive an amount of Rs. 11700, then find the share of Y.

Options

A. Rs. 3900
B. Rs. 3800
C. Rs. 3700
D. Rs. 3600

Answer

D

Explanation

X's 1 day work = `(1)/(2)`
Y's 1 day work = `(1)/(3)`
Z's 1 day work = `(1)/(4)`
Ratio of shares of X, Y, and Z is equal to ratio of their capacitites, i.e., `(1)/(3): (1)/(2): (1)/(4),` i.e., 6:4:3.
Hence, the correct option is (d).