Question
Mr. X started a business by investing Rs. 7,200. After 5
months, Mr. Y and Mr. Z joined with investments of Rs. 8,400 and Rs. 9,600 respectively. After 2 years, Y's profit is Rs. 60 less than X's. Find the total profit earned in 2 years.Solution
ATQ,
Given: X invests ₹7200 for 24 months Y invests ₹8400 for 19 months (joined after 5 months) Z invests ₹9600 for 19 months Y’s profit is ₹60 less than X’s Find total profit Calculate profit ratio (capital × time): X = 7200 × 24 = 172800 Y = 8400 × 19 = 159600 Z = 9600 × 19 = 182400 Simplify ratio: X:Y:Z = 172800:159600:182400 Divide all by 100 → 1728:1596:1824 Divide all by 12 → 144:133:152 Let 1 part = x Difference between X and Y = (144 – 133)x = 11x Given: 11x = 60 → x = 60/11 Total profit = (144 + 133 + 152) × x = 429 × (60/11) = 2340
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