Rs 178 is distributed among daily wage workers A,B,C. A got 4 less than C. B got 15 more than A. C gets 11 less than B. Find the ratio of shares of A,B,C?

A. 50:51:52

B. 53:56:68

C. 53:68:57

D. 57:53:68

Answer: Option C

Solution(By Examveda Team)

A = C – 4 ---------------------------(i)
B = A + 15 ------------------------- (ii)
C = B – 15 ------------------------- (iii)
From (i) and (ii)

A = B – 11 – 4
A = B – 15
Now,
A : B : C
B – 15 : B : B – 11
B – 15 + B + B – 11 = 178
3 B = 178 + 26 = 204 => B = 68
A = 53, C = 57
Required Ratio,
A : B : C = 53 : 68 : 57