Question
'Pawan' and 'Qureshi' initiated a business venture with
investments in the ratio of 2:3, respectively. After 8 months, 'Rita' became a partner in the business by contributing an amount that was (100/7)% greater than 'Qureshi's investment. After an additional 12 months, 'Qureshi' exited the business. At the conclusion of 2 years, 'Pawan' earned a profit of Rs. 7,000. Determine the difference between the profits received by 'Qureshi' and 'Rita'.Solution
ATQ, Let the initial investment of 'Pawan' and 'Qureshi' be Rs. '14x' and Rs. '21x', respectively Initial investment of 'Rita' = (8/7) × 21x = Rs. '24x' Ratio of profit share of 'Pawan', 'Qureshi' and 'Rita' = (14x × 24) :(21x × 20) :(24x × 16) = 28:35:32 Let the profit share of 'Pawan', 'Qureshi', and 'Rita' be Rs. '28y', Rs. '35y', and Rs. '32y', respectively. Profit share of 'Pawan' = '28y' = 7000 So, y = (7000/28) = 250 Difference between profit share of 'Qureshi' and 'Rita' = 35y 32y = 3y = 3 × 250 = Rs 750
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