Question
A sum of Rs 31866 is divided between A, B and C such
that the ratio of shares of A and B is 9:8 and that of A and C is 4:5. The share (in RS) of B is:Solution
Let the total sum be x. simplifying the ratio to get the same unit by cross multiplication, Ratio of A and B = (9 : 8) × 4 ⇒ 36 : 32 Ratio of A and C = (4 : 5) × 9 ⇒ 36 : 45 Ratio of A, B and C = 36 : 32 : 45 Total sum = Rs. (36x + 32x + 45x) ⇒ 113x = 31866 ⇒ x = 282 The share of B = 32x = (32 × 282) = 9024
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