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    Question

    Atul,' 'Bhasker,' and 'Chetna' collaborated in a

    business, contributing initial amounts of Rs. (p + 300), Rs. (p– 100), and Rs. (p – 300), respectively. After 7 months, 'Atul' withdrew Rs. 480, 'Bhasker' withdrew Rs. 240, and 'Chetna' added Rs. 720 more. At the end of the year, the profit share of 'Bhasker' from the total profit of Rs. 66000 was Rs. 19500. Calculate the profit share of 'Atul.'
    A Rs.30000 Correct Answer Incorrect Answer
    B Rs.45000 Correct Answer Incorrect Answer
    C Rs.15000 Correct Answer Incorrect Answer
    D Rs.24000 Correct Answer Incorrect Answer
    E none of these Correct Answer Incorrect Answer

    Solution

    ATQ, Respective ratio of profit share of Atul, Bhasker and Chetna = [(p + 300) × 12 – 480 × 5]:[(p – 100) × 12 – 240 × 5]:[(p – 300) × 12 + 720 × 5] = [p + 300 – 40 × 5]:[p – 100 – 20 × 5]:[p – 300 + 60 × 5] = (p + 100):(p – 200):(p) ATQ, (p – 200)/(3p – 100) = 19500/66000 = 13/44 Or, 44p – 8800 = 39p – 1300 Or, 5p = 7500 Or, p = 1500 Respective ratio of profit share of Atul, Bhasker and Chetna = 1600:1300:1500 = 16:13:15 Profit share of Atul = (16/44) × 66000 = Rs.24000

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