A sum is divided among A, B, C and D such that the ratio of the shares of A and is 2 : 3, that of B and C is 1 : 2 and that of C and D is 3 : 4. If the difference between the shares of A and is ₹648,then the sum of their shares is:
Ratio of the shares of A and B = 2 : 3
Ratio of the shares of B and C = 1 : 2
Ratio of the shares of C and D = 3 : 4
Ratio of the shares of A, B, C and D = 2 : 3 : 6 : 8
Difference between the shares of A and D = 8 - 2 = 6 units
Sum of the shares = 2 + 3 + 6 + 8 = 19 units
6 units = 648
Sum of the shares = $$\frac{648}{6} \times 19$$ = Rs. 2052
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