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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 the end of 9 months, Beena increased her initial investment by 25%. On completion of one year, the share of Avni and Beena in the entire profit was Rs. 14,200. If Beena had increased her investment after x months, then the ratio of the shares of Avni and Beena in the entire profit would have been 10:27 respectively. Find the value of x.
- 4
- 6
- 8
- 5
Correct answer: 6
Solution
In partnership problems, profit share is proportional to capital × time. Using the actual and hypothetical situations, the ratio condition gives an equation in x, which simplifies to x = 6.
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