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X and Y invested a total of Rs. 65200 in their business for 4 months. X then, decreased his amount by 10000 for the next 8 months. Y increased his amount by 12000 for the next 8 months. The ratio of their profit is 250/249. Find initial amount invested by X.1. 560002. 480003. 400004. 44000 |
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Answer» Correct Answer - Option 3 : 40000 Given: X and Y invested a total of Rs. 65200 in their business for 4 months. X then, decreased his amount by Rs. 10000 for the next 8 months. Y increased his amount by Rs. 12000 for the next 8 months. The ratio of their profit is 250/249. Formula Used: Ratio of Profit = ratios of product of Amount invested and time Calculation: Let X invested Rs. X and Y invested Rs. (65200 – x) X y X [For 4 months] (65200 – x) [For 4 months] (x – 10000) [For next 8 months] (77200 – x) [For next 8 months] ⇒ {x × 4 + (x - 10000) × 8}/{4 × (65200 - x) + (77200 - x) × 8} = 250/249 ⇒ (12x - 80000)/(878400 – 12x) = 250/249 ⇒ x = 40000 ∴ Initial amount invested by X was Rs. 40000 |
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