A sum of ₹ 12870 is divided among A, B and C in such a way that the ratio of A's share to the combined share of B and C is 3 : 7 and the ratio of C's share to the combined share of A and B is 2 : 9. What is the difference between the shares of A and B?
₹ 2808
If A : (B + C) = 3 : 7, then A = 3/10 of the total; if C : (A + B) = 2 : 9, then C = 2/11 of the total.
A = 3/10 × 12870 = 3861
C = 2/11 × 12870 = 2340
B = 12870 - 3861 - 2340 = 6669
B - A = 6669 - 3861 = 2808
Hence, ₹ 2808.
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