A and B invest Rs. 42,000 and Rs. 56,000 respectively, in a business. At the end of the year they make a profit of Rs. 87,220. Find B's share in the profit.

Explanation

Solution: Step 1: Calculate the ratio of A's and B's investments. A's investment = Rs. 42,000 B's investment = Rs. 56,000 Ratio of A : B = 42000 : 56000 Simplify the ratio: A:B=3:4 Step 2: Use this ratio to divide the total profit. Total profit = Rs. 87,220 Let B's share in the profit be: B's share = 4⁄(3 + 4) × 87,220 B's share = 4⁄7 × 87,220 Step 3: Calculate B's share. B's share = (4 × 87,220) ⁄ 7 B's share = 3,48,880 ⁄ 7 B's share = 49,840 Answer: B's share in the profit is Rs. 49,840.