Question
βAβ and βBβ started a business by investing
certain sum in the ratio 2:5, respectively for 6 years. If 16% of the total profit is donated in an orphanage and Aβs share is Rs. 1200, then find the total profit generated from the business.Solution
Since, βAβ and βBβ invested their sums for equal period, therefore, ratio of the profit received by βAβ and βBβ will be equal to the ratio of sum invested by them i.e. 2:5, respectively Let the total profit received by them be Rs. 100x Therefore, profit distributed between βAβ and βBβ = 0.84 Γ 100x = Rs. 84x Profit received by βAβ = 84x Γ (2/7) = Rs. 24x According to the question, 24x = 1200 => x = 50 Therefore, total profit received by βAβ and βBβ = 100x = Rs. 5000
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