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Question 58
A sum of ₹x is divided among A, B and C suchthat the ratio of the shares of A and B is 6 : 7 and that of B and is 3 : 2. If the difference between the shares of A andC is ₹540, then the value of x is:
Solution
Ratio of the shares of A and B = 6 : 7 = 18 : 21
Ratio of the shares of B and C = 3 : 2 = 21 : 14
Ratio of the shares of A, B and C = 18 : 21 : 14
Value of x = 18 + 21 + 14 = 53 units
Difference between the shares of A and C = ₹540
18 - 14 units = 540
4 unit = 540
1 unit = 135
53 units = 135 $$\times$$ 53 = 7155
Value of x = Rs.7155
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