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Nasruddin and Mahesh invested Rs 40,000 and Rs 60,000 respectively to start a business. They made a profit of 30%. How much profit did each of them make?

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Total amount invested = Rs 40,000 + Rs 60,000 

= Rs 1,00,000 

Profit earned = 30% 

∴ Total profit = 30% of 1,00,000 

= 30/100 × 100000 

= Rs 30000 

Proportion of investment = 40000 : 60000 

= 2:3 …. (Dividing by 20000) 

Let Nasruddin’s profit be Rs 2x and Mahesh’s profit be Rs 3x. 

∴ 2x + 3x = 30000 

∴ 5x = 30000 

∴ x = . 30000/5

∴ x = 6000 

∴ Nasruddin’s profit = 2x = 2 × 6000 = Rs 12000 

Mahesh’s profit = 3x = 3 × 6000 = Rs 18000 

∴ The profits of Nasruddin and Mahesh are Rs 12000 and Rs 18000 respectively.

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