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.'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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