Question
Chintu and Jimmy started a business by investing Rs.(3a
- 200) and Rs.(4a - 400) respectively. Chintu invests his amount for 8 months whereas Jimmy invests his amount for 20 months. If the profit share of Jimmy at the end of 20 months was Rs.4,500 out of total profit of Rs. 5,940, then find the amount invested by Jimmy.Solution
ATQ, Ratio of profit share of Chintu and Jimmy respectively = [(3a - 200) × 8]:[(4a - 400) × 20] = (6a - 400) :(20a - 2000) ATQ, (6a - 400) :(20a - 2000) = (5,940 - 4,500) :4,500 Or, (3a - 200) ÷ (10a - 1000) = (8/25) Or, 25 × (3a - 200) = 8 × (10a - 1,000) Or, 75a - 5,000 = 80a - 8,000 Or, 5a = 3,000 So, 'a' = 600 Therefore, amount invested by Jimmy = (4a - 400) = 4 × 600 - 400 = Rs. 2,000
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