Question
'Aditi' and 'Misti' embarked on a business venture,
initially investing sums denoted as 'm' and 'm + 3000', respectively. Four months later, 'Aditi' chose to amplify her investment by an additional Rs. 3,000, whereas 'Misti' opted to withdraw Rs. 2,000 from his initial capital. As the year concluded, 'Aditi' claimed her share of the profit, amounting to Rs. 42,000, out of a total profit pool of Rs. 83,000. Could you ascertain the initial capital 'Misti' invested in this enterprise?Solution
ATQ, Ratio of profit shares of ‘Aditi’ and ‘Misti’ = {(4 × m) + 8 × (m + 3000)}:{4 × (m + 3000) + 8 × (m + 3000 – 2000)} = 3(m + 2000):(3m + 5000) Profit share of ‘Misti’ = 83000 – 42000 = Rs. 41,000 ATQ; {3 × (m + 2000)}/{3m + 5000} = (42000/41000) 41 × (m + 2000) = 14 × (3m + 5000) Or, 41m + 82000 = 42m + 70000 Or, m = 12000 So, investment made by ‘Misti’ initially = 12000 + 3000 = Rs.15,000
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