A sum of ₹6,300 is divided among A, B, C, and D such that the ratio of the combined share of A and D to the combined share of B and C is 11 : 10 and the ratio of the shares of B and D is 8 : 9. If C receives ₹1,560, then what is the difference (in ₹) between the shares of A and B?
Show answer & explanation
Correct answer: D
Explanation
The correct answer is option 4 i.e. 240.
Let B = 8x and D = 9x
(A + D)/(B + C) = 11/10
⇒ A + 9x = (11/10) × (8x + 1560)
⇒ A = (8.8x + 1716) - 9x = - 0.2x + 1716
A + B + C + D = 6300
⇒ (- 0.2x + 1716) + 8x + 1560 + 9x = 6300
⇒ 16.8x + 3276 = 6300
⇒ x = 180
A - D = (- 0.2x + 1716) - 8x = (-0.2 × 180 + 1716) - (8 × 180)
= 1680 - 1440 = 240