A sum of ₹46,800 is divided among A, B, C and D such that the ratio of the combined share of A nd D to the combined share of B and C is 8 : 5. The ratio of the shares of B and C is 5 : 4. If A receives ₹18,400, then the sum of the shares of A and B (in ₹) is:
Show answer & explanation
Correct answer: B
Explanation
The correct answer is option 2 i.e. 28,400.
(A + D) : (B + C) = 8 : 5 = 8x : 5x
Also, B : C = 5 : 4 = 5x : 4x
According to the question,
⇒ 8x + 5x = 46,800
⇒ x = 3,600
⇒ B + C = 5x = ₹18,000
And B : C = 5 : 4
So, B = × 18000 = 10000
⇒ A + B = 18400 + 10000 = 28,400