Question
βMβ invested Rs. 3600 for (t + 6) months, while
βNβ invested Rs. 900 more than βMβ for (t - 1) months, in a business. If profit received by βNβ out of total profit of Rs. 6600 is Rs. 2700, then find the value of βtβ.(Calculate approx. value)Solution
ATQ, Ratio of profit received by βMβ and βNβ = {3600 Γ (t + 6)}:{4500 Γ (t - 1)} = (6600 β 2700)/2700 Or, (3600t + 21600):(4500t - 4500) = 3900/2700 Or, (12t + 72):(15t - 15) = 13/9 Or, 108t + 648 = 195t - 195 Or, 843 = 87t Or, t = 843/87 = 9.69 (approximately 10)
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