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Aman and Mathu started a business with initial capital of Rs.30000 and Rs.40000 respectively. They decided that Aman being the working partner will get 10% of the profit over the top and then the rest will be divided in the capital ratio. If the difference between their profits at the end of the year is Rs.1000, what was the total profit?1. 340002. 430003. 350004. 530005. 36000 |
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Answer» Correct Answer - Option 3 : 35000 Given: Initial investment of Aman and mathu is 30000 and 40000 respectively. Difference between their profits at the end of the year = 1000 Formula used: Profit = total profit × (part share / total share) Calculation: Let us assume the total profit = 100x Aman’s share for being the working partner = 100x × 10/100 = 10x Rest (100x – 10x) = 90x will be divided in the ratio = 30000 : 40000 = 3 : 4 Aman’s total payout = [10x + (90x × 3/7)] Mathu’s total payout = (90x × 4/7) ATQ, (90x × 4/7) - [10x + (90x × 3/7)] = 1000 ⇒ 90x × 1/7 – 10x = 1000 ⇒ 20x/7 = 1000 ⇒ 100x = (1000 × 7 × 100)/20 = 35000 ∴ Total profit = Rs. 35000 |
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