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Abhishek, Ajay and Arjun started a business by investing Rs. 78000, 75000 and 82000 respectively. After 6 months Arjun took out Rs. 14000 from it and Abhishek invested Rs. 4000 more. At the end of the year if they earned a profit of Rs. 112056. Find out how much more money will Abhishek get from Arjun?

Abhishek, Ajay and Arjun started a business by investing Rs. 78000, 75000 and 82000 respectively. After 6 months Arjun took out Rs. 14000 from it and Abhishek invested Rs. 4000 more. At the end of the year if they earned a profit of Rs. 112056. Find out how much more money will Abhishek get from Arjun? Correct Answer Rs. 2436

Capital ratio of Abhishek ∶ Ajay ∶ Arjun = (78000 × 6 + 82000 × 6) ∶ 75000 × 12 ∶ (82000 × 6 + 68000 × 6)

⇒ Capital ratio of Abhishek ∶ Ajay ∶ Arjun = 6000 (78 + 82) ∶ 6000 (75 × 2) ∶ 6000 (82 + 68)

⇒ Capital ratio of Abhishek ∶ Ajay ∶ Arjun = 160 ∶ 150 ∶ 150

⇒ Capital ratio of Abhishek ∶ Ajay ∶ Arjun = 16 ∶ 15 ∶ 15

Profit would be divide in the ratio of their capitals

Profit earned by Arjun = (15/46) × 112056 = Rs. 36540

Profit earned by Abhishek = (16/46) × 112056 = Rs. 38976

∴ Difference of Arjun’s and Abhishek’s profit = 38976 - 36540 = Rs. 2436

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