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Partner withdraws part of the capital during the year: his share of profit

This type of question, asked 2 times: CDS 2 2016, CDS 2 2020. All 2 questions below, oldest first.

Try each one first, then open its answer.

  1. Question 1

    CDS 2 2016

    36
    XX and YY entered into partnership with Rs. 700 and Rs. 600 respectively. After 3 months XX withdrew 2/7 of his stock but after 3 months, he puts back 3/5 of what he had withdrawn. The profit at the end of the year is Rs. 726. How much of this should XX receive ?

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  2. Question 2

    CDS 2 2020

    25
    Three persons start a business with capitals in the ratio 13:14:15\frac{1}{3} : \frac{1}{4} : \frac{1}{5}. The first person withdraws half his capital after 4 months. What is his share of profit if the business fetches an annual profit of Rs. 96,800 ?

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