Ajay started a business with Rs. 52,000. After 4 months, he was joined by Dinesh who invested Rs. 39,000. At the end of the year, out of the total profits, Dinesh received Rs. 20,000 including 25% of the profits as his fee for taking care of logistics. What was the amount received by Ajay?
Created: 28 Feb 2026 |
Updated: 28 Feb 2026
Updated: 28 Feb 2026
Explanation:
Ratio of their profits will be the same as ratio of their total investments, ∴ Ratio of profits of Ajay and Dinesh = 52,000 × 12 ∶ 39,000 × 8 = 2 ∶ 1 Let the profit be x. Since Dinesh receives 25% as fee for taking care of logistics, the remaining 75% of the total profit x is shared between Ajay and Dinesh in the ratio 2 ∶ 1. ∴ Apart from the 25% of the total profit as his fee, Dinesh will also get 1/3rd part of the 75% remaining profit. ∴ Total earning of Dinesh = 0.25x + (1/3) × 0.75x = 20,000 ⇒ x = Total profit = Rs. 40,000 Since total earning of Dinesh = Rs. 20,000 ∴ Total earning of Ajay = 40,000 - 20,000 = Rs. 20,000
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