Question
Maya and Raj started a business with investments of Rs.
4600 and Rs. 5400, respectively. After two months, Dev joined them with an investment of Rs. 6200. By the end of the year, Dev's share of the profit was Rs. 1860. Calculate the difference in profit share between Maya and Raj.Solution
Investments & Time: Maya = 4600 × 12 = 55200 Raj = 5400 × 12 = 64800 Dev = 6200 × 10 = 62000 Ratio = Maya : Raj : Dev = 55200 : 64800 : 62000 Simplified = 138 : 162 : 155 Total parts = 138 + 162 + 155 = 455 Dev's share = ₹1860 → 155 parts Value of 1 part = 1860 / 155 = ₹12 Maya's share = 138 × 12 = ₹1656 Raj's share = 162 × 12 = ₹1944 Difference = 1944 − 1656 = ₹288
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