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Sita, Geeta and Reeta start a boutique by investing Rs. 10,000 each. After 5 months Sita withdraw Rs. 2000, Geeta with draws Rs. 3000 and Reeta invest Rs. 6000 more. The profit at the end of the year was Rs. 36700, then what will be Geeta’s share.1. Rs. 66002. Rs. 77003. Rs. 88004. Rs. 99005. None of these |
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Answer» Correct Answer - Option 4 : Rs. 9900 Given∶ Their investing amount = Rs. 10,000 After 5 months, Sita withdrew = Rs. 2000, Geeta withdrew = Rs. 3000 and Reeta invest = Rs. 6000 Total profit at the end of the year = Rs. 36700. Formula Used∶ Share = Amount × Time Calculation∶ The ratio of investment of Sita, Geeta and Reeta = Sita ∶ Geeta ∶ Reeta = (10000 × 5 + 8000 × 7) ∶ (10000 × 5 + 7000 × 7) ∶ (10000 × 5 + 16000 × 7) = (50000 + 56000) ∶ (50000 + 49000) ∶ (50000 + 112000) = (106000) ∶ (99000) ∶ (162000) = 106 ∶ 99 ∶ 162 Sum of the ratio = 106 + 99 + 162 = 367 According to question∶ When, total share is 367 Rs. then profit = 36700 When share is Rs. 1 then profit = 36700/367 = Rs. 100 And when share is Rs. 99, then profit = 100 × 99 = Rs. 9900 ∴ Geeta share is Rs 9900. |
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