Amal and Bimal started a business. Amal invested Rs. 500 for 9 months and Bimal invested some money for 6 mont

Question

Amal and Bimal started a business. Amal invested Rs. 500 for 9 months and Bimal invested some money for 6 months. If they make a total profit of Rs. 69 in a year and Bimal gets a profit share of Rs. 46 , the capital invested by Bimal in the business is:

Accepted Answer

Let the capital invested by Bimal be Rs. x . The ratio of their equivalent investments for 1 month is: Amal : Bimal = (500 × 9) : (x × 6) = 4500 : 6x Given: * Total profit = Rs. 69 * Bimal's profit share = Rs. 46 * Amal's profit share = 69 - 46 = Rs. 23 The ratio of their profit shares is: Amal's Profit/Bimal's Profit = 23/46 = 1/2 Since the ratio of profits is equal to the ratio of investments: 4500/6x = 1/2 6x = 4500 × 2 6x = 9000 x = 9000/6 = 1500 Thus, Bimal's capital is Rs. 1500 .

Amal and Bimal started a business. Amal invested $Rs. 500$ for $9$ months and Bimal invested some money for $6$ months. If they make a total profit of $Rs. 69$ in a year and Bimal gets a profit share of $Rs. 46$ , the capital invested by Bimal in the business is:

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Amal and Bimal started a business. Amal invested Rs. 500 for 9 months and Bimal invested some money for 6 months. If they make a total profit of Rs. 69 in a year and Bimal gets a profit share of Rs. 46, the capital invested by Bimal in the business is: