X alone can do a work in 12 days. Y alone can do the same work in 18 days. Z alone can do the same work in 36 days. All three together complete the work. Wages received by X out of total wages received by X, Y and Z are Rs. 4800. What is the absolute difference (in Rs.) between the total wages of Y and Z and total wages of X and Z?
Show answer & explanation
Correct answer: D
Explanation
Working Capacity -
X = 1/12 = 3/36
Y = 1/18 = 2/36
Z = 1/36
Ratio = 3 : 2 : 1
X's share = ₹4800
3 parts = 4800
1 part = 1600
Y+Z = 3 parts = 4800
X+Z = 4 parts = 6400
Difference = 6400 – 4800 = 1600