Question
Akshita and Monika started a business with initial
investments of Rs. 2,400 and Rs. 2,500 respectively. After one year, Akshita withdrew ___% and Monika withdrew ____% of their initial investments. After 2 years, the profit share of Akshita out of the total profit is more than 50%. The values given in which of the following options will fill the blanks in the same order to make the above statement true? I. 20%, 30% II. 25%, 30% III.12%, 16%Solution
ATQ, Investment of Akshita for 2 year = 2400 × 0.80 = Rs. 1,920 Investment of Monika for second share = 2500 × 0.70 = Rs. 1750 Ratio the profits of Akshita to Monika = 2400 + 1920: 2500 + 1750 = 4320: 4250 = 432: 425 So the profit % of Akshita out of the total profit = 432/(432 + 425) × 100 = 43200/857 = 50.4% So option I can be the answer. Option II: Investment of Akshita for second year = 2400 × 0.75 = Rs. 1,800 Investment of Monika for second share = 2500 × 0.70 = Rs. 1750 Ratio the profits of Akshita to Monika = 2400 + 1800: 2500 + 1750 = 4200: 4250 = 84: 85 So the profit % of Akshita out of the total profit = 84/(84 + 85) × 100 = 8400/169 = 49.7% So option II can’t be the answer. Option III: Investment of Akshita for 2 year = 2400 × 0.88 = Rs. 2,112 Investment of Monika for second share = 2500 × 0.84 = Rs. 2100 Ratio the profits of Akshita to Monika = 2400 + 2112: 2500 + 2100 = 4512: 4600 = 564: 575 So the profit % of Akshita out of the total profit = 564/(564 + 575) × 100 = 56400/1139 = 49.51% So option III can’t be the answer
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