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Avni and Beena started a business by investing Rs. P and Rs. 1.2P respectively. After x months, Avni withdrew her entire amount and Chetna entered the business. After 9 months, Beena increased her initial investment by 25%. At the end of one year, the share of Avni and Beena in the total profit was Rs. 14,200. If Beena had increased her investment after x months, then the ratio of their profit shares would have been 10:27 respectively. Question: If the ratio of their profit shares was 20:51, then find the difference between the profit shares of Avni and Beena.

1. Rs.4350
2. Rs.5120
3. Rs.6200
4. Rs.7200

Correct answer: Rs.6200

Solution

In partnership problems, profit is divided in the ratio of capital × time. Once the ratio of Avni’s and Beena’s shares is known as 20:51, the difference between their shares is based on 31 equal parts. Using the given profit-share data, the difference comes out to ₹6,200.

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