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Capital added or withdrawn partway through the year: share of profit or profit ratio

This type of question, asked 3 times: 15 Nov 2020 Tier II, 8 Aug 2022 Tier II, 18 Jan 2026 Tier II. All 4 questions below, oldest first.

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  1. Question 1

    15 Nov 2020 Tier II

    67
    X and Y enter into a partnership with capital in the ratio 3:53 : 5. After 5 months X adds 50% of his capital, while Y withdraws 60% of his capital. What is the share (in ₹ lakhs) of X in the annual profit of ₹6.84 lakhs?

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  2. Question 2

    8 Aug 2022 Tier II

    55
    A, B and C started a business with the investment of ₹ 100000, ₹ 140000 and ₹ 200000 respectively. After 3 months, C left the business. 7 months after C left the business, B also left the business. B and C took their investments with them. At the end of the year, C received his share of profit as ₹ 1155. What is the total share of profits of A and B?

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  3. Question 3

    8 Aug 2022 Tier II

    6
    A, B and C started a business with initial investments of ₹ 20000, ₹ 25000 and ₹ 10000, respectively. After 5 months from start, A invested ₹ 4000 more. After 6 months from start, C invested ₹ 8000 more. After 4 months from start, B withdrew ₹ 8000. At the end of the year, they will receive a profit of ₹ 'x'. In what ratio they will share the profits?

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  4. Question 4

    18 Jan 2026 Tier II

    16
    A, B, and C invest in a business in the ratio 2:3:5. After 4 months, A increases his capital by 50%, B decreases his capital by 13\frac{1}{3}, and C leaves the capital unchanged. At the end of the year, if the total profit is Rs. 33,000, find the share of B.

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