A sum of Rs 46,800 is divided among A, B , C and D in such a way that the ratio of the combined share of A and D to the combined share of B and C is 8 : 5. The ratio of the share of B to that of C is 5 : 4. A receives Rs 18,400. If x is the difference between the shares of A and B and y is the difference between the shares of C and D, then what is the value of (x-y)(in Rs)?
Show answer & explanation
Correct answer: A
Explanation
The correct answer is option 1 i.e. 6000
B : C = 5 : 4....(1)
B + C = 5x + 4x = 9x
(A + D) : (B + C) = (8 : 5)
To make B + C equal in both the scenarios, multiply the (2) equation by 9 and (1) equation by (1) we get,
(A + D) : (B + C) = 72 : 45
B : C = 25 : 20
A + B + C + D = 46800
72x + 45x = 46800
117x = 46800
x = 400.
72x = 72 × 400 = 28800.
A + D = 28800
D's share = 28800 - 18400 = 10400.
B's share = 25x = 25 × 400 = 10000
C's share = 20x = 20 × 400 = 8000.
x = A - B = 18400 - 10400 = 8000
y = 10000 - 8000 = 2000.
x - y = 8000 - 2000 = 6000.