Question
A and B invested Rs.4500 and Rs.5400 respectively. A
invested for n  months and B invested for (n + 6)  months. Their total profit is Rs.14700. One-third of the difference between their profits is Rs.1400. If A’s profit is less than B’s, find B’s investment duration.Solution
ATQ, Difference between the profit obtained by A and B = 1400 * 3 = Rs.4200 Profit obtained by A = (14700 – 4200)/2 = 10500/2 = Rs.5250 Profit obtained by B = 14700 – 5250 = Rs.9450 Profit ratio A : B = 5250 : 9450 = 5 : 9 (4500 * n)/(5400 * (n + 6)) = 5/9 5n/(6 * (n + 6)) = 5/9 n/(n + 6) = 2/3 3n = 2n + 12 n = 12 months Investment time period of B = n + 6 = 18 months
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