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    Ramani started a business with a capital of ₹8,000. Vanita joined the business after 4 months with a capital of ₹6,000. At the end of one year of busi
    Question

    Ramani started a business with a capital of ₹8,000. Vanita joined the business after 4 months with a capital of ₹6,000. At the end of one year of business if they earned a profit of ₹3,600, then the share of Vanita is:

    A.

    ₹1,500

    B.

    ₹1,800

    C.

    ₹1,200

    D.

    ₹2,400

    Correct option is C

    Given:

    Ramani’s capital = ₹8,000

    Vanita’s capital = ₹6,000 (joined after 4 months)

    Total profit = ₹3,600

    Business duration = 12 months

    Solution:

    Ramani’s investment time = 12 months → 8000 × 12 = 96,000

    Vanita’s investment time = 8 months → 6000 × 8 = 48,000

    Profit ratio = 96000 : 48000 = 2 : 1

    Vanita’s share =13×3600=1,200= \frac{1}{3} \times 3600 = ₹1,200

    Alternate Method:

    3 unit = 3600

    Vanita’s share   1 unit = 1200

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