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Anant invested Rs. 81000 in a business for 8 months and then 4000 more for 4 months. B invested certain amount for 4 months and then increased the invested amount by 5000 for the remaining 8 months. The ratio of their profits was 247 : 130. Find the amount invested by B in the last 8 months.1. 440002. 350003. 400004. 45000 |
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Answer» Correct Answer - Option 4 : 45000 Given: Anant invested Rs. 81000 in a business for 8 months and then 4000 more for 4 months. B invested certain amount for 4 months and then increased the invested amount by 5000 for the remaining 8 months. The ratio of their profits was 247 : 130. Formula: Ratio of Profit = ratios of product of Amount invested and time Calculation: Let the amounts invested by B for 4 and 8 months respectively be x and x + 5000 respectively. (81000 × 8 + 85000 × 4)/(x × 4 + (x + 5000) × 8) = 247/130 (988000)/(12x + 40000) = 247/130 ⇒ 4000/(12x + 40000) = 1/130 ⇒ 1000/(3x + 10000) = 1/130 ⇒ 130000 = 3x + 10000 ⇒ x = 40000 The amount invested by B in the last 8 months = x + 5000 = 40000 + 5000 = 45000 |
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