Question
A, B and C start a business. A invests Rs 80,000 for 12
months, B invests Rs 1,20,000 for 9 months and C invests Rs 1,00,000 for 6 months. If the total profit at the end of the year is Rs 1,49,600, find C’s share of profit.Solution
Capital × Time: A: 80,000 × 12 = 9,60,000 B: 1,20,000 × 9 = 10,80,000 C: 1,00,000 × 6 = 6,00,000 Ratio A : B : C = 9.6 : 10.8 : 6 Multiply by 10 to clear decimal: 96 : 108 : 60 Divide by 12: 8 : 9 : 5 Total parts = 8 + 9 + 5 = 22 C’s share = (5/22) × 1,49,600 = 1,49,600 ÷ 22 × 5 1,49,600 ÷ 22 = 6,800 So C’s share = 6,800 × 5 = 34,000.
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