Question
‘M’ invested Rs. 3600 for (t + 6) months, while
‘N’ invested Rs. 900 more than ‘M’ for (t - 1) months, in a business. If profit received by ‘N’ out of total profit of Rs. 6600 is Rs. 2700, then find the value of ‘t’.(Calculate approx. value)Solution
ATQ, Ratio of profit received by ‘M’ and ‘N’ = {3600 × (t + 6)}:{4500 × (t - 1)} = (6600 – 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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