A invested ₹X for 12 months. After 6 months, B joined with ₹(X+4000). After 1 year, ratio of B's profit to total profit = 3:7. Find X.

4000
8000
1600
6000

Correct answer: 8000

Solution

A's profit share = 12X. B's profit share = 6(X+4000). B:Total = 3:7. So 6(X+4000)/[12X+6(X+4000)] = 3/7. 7×6(X+4000) = 3×[18X+24000]. 42X+168000 = 54X+72000. 12X = 96000. X = 8000.

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