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A, B, and C started a business by investing $3000, $4000, and $5000 respectively. After 6 months, A withdrew $1000, B withdrew $2000, and C withdrew $2500. At the end of the year, the total profit was $7400. Find the share of B in the profit.

Question

A, B, and C started a business by investing 3000,3000, 4000, and 5000respectively.After6months,Awithdrew5000 respectively. After 6 months, A withdrew 1000, B withdrew 2000,andCwithdrew2000, and C withdrew 2500. At the end of the year, the total profit was $7400. Find the share of B in the profit.

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Solution

To solve this problem, we need to calculate the capital for each person for the time they invested in the business.

  1. For the first 6 months, A invested 3000,Binvested3000, B invested 4000, and C invested 5000.So,thecapitalsare:Ascapital=5000. So, the capitals are: A's capital = 3000 * 6 = 18000Bscapital=18000 B's capital = 4000 * 6 = 24000Cscapital=24000 C's capital = 5000 * 6 = $30000

  2. After 6 months, A withdrew 1000,Bwithdrew1000, B withdrew 2000, and C withdrew 2500.So,forthenext6months,thecapitalsare:Ascapital=(2500. So, for the next 6 months, the capitals are: A's capital = (3000 - $1000) * 6

This problem has been solved

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