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A and B start a business by investing a capital Rs. 3000 and Rs. 2000. After 6 months, C joins the business with the capital of Rs. 5000 and A doubles its investment. If their profit is Rs. 36000 after one year, then find the difference between the profit of A and C.1. Rs. 10,0002. Rs. 18,0003. Rs. 24,0004. Rs. 8,0005. Rs. 9,000 |
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Answer» Correct Answer - Option 4 : Rs. 8,000 Given: Investment of A = Rs. 3000 Investment of B = Rs. 2000 Profit = Rs. 36000 Concpet used: Profit = Investment × Time Calculations: ⇒ A × 6 + 2A × 6 : B × 12 : C × 6 ⇒ 3000 × 6 + 6000 × 6 : 2000 × 12 : 5000 × 6 ⇒ A : B : C = 9 : 4 : 5 Let the ratio be 9x, 4x and 5x respectively ⇒ 9x + 4x + 5x = 36000 ⇒ 18x = 36000 ⇒ x = 2000 ⇒ Difference between A and C = 9x – 5x = 4x ⇒ Difference between A and C = 4 × 2000 ⇒ Difference between A and C = Rs. 8000 ∴ The difference between the profit of A and C is Rs. 8000 |
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