In a business, A and C invested amounts in the ratio 2 : 1, whereas the ratio…

When a business has three partners whose investments are linked through two separate pairwise ratios (not all three given together), express every partner's investment in terms of one common variable so that all three investments become directly comparable in a single combined ratio. Profit for a given period is then shared strictly in proportion to that combined investment ratio.

1. Let the investment of C = x.

2. Since A : C = 2 : 1, the investment of A = 2x.

3. Since A : B = 3 : 2, B = (2/3) × A = (2/3) × 2x = 4x/3.

4. So A : B : C = 2x : 4x/3 : x. Multiplying every term by 3 to clear the fraction gives A : B : C = 6 : 4 : 3.

5. Total parts = 6 + 4 + 3 = 13, so B's share of the profit = (4/13) × 157300 = Rs. 48400.

Check: A's share = (6/13) × 157300 = Rs. 72600 and C's share = (3/13) × 157300 = Rs. 36300. Adding all three shares gives 72600 + 48400 + 36300 = Rs. 157300, matching the total profit exactly, which confirms the ratio split is correct.

Hence, B received Rs. 48400.