Ratio of profits of P, Q and R are 5 : 8 : 9 respectively.What is their investment ratio if their investment time period ratio is 2 : 5 : 8 respectively?110 : 74 : 647 : 13 : 17100 : 64 : 4510 : 40 : 72
Question
Ratio of profits of P, Q and R are 5 : 8 : 9 respectively.What is their investment ratio if their investment time period ratio is 2 : 5 : 8 respectively?110 : 74 : 647 : 13 : 17100 : 64 : 4510 : 40 : 72
Solution
The profit of an investment is given by the formula:
Profit = Investment * Time
Given that the ratio of profits of P, Q and R are 5 : 8 : 9 respectively and their investment time period ratio is 2 : 5 : 8 respectively, we can set up the following equations:
5 = P * 2 8 = Q * 5 9 = R * 8
Solving these equations for P, Q, and R gives us the investment ratios:
P = 5 / 2 = 2.5 Q = 8 / 5 = 1.6 R = 9 / 8 = 1.125
Therefore, the investment ratio of P, Q, and R is 2.5 : 1.6 : 1.125.
However, to make it easier to compare, we can multiply each number by 40 (the least common multiple of 2, 5, and 8) to get rid of the decimals:
P = 2.5 * 40 = 100 Q = 1.6 * 40 = 64 R = 1.125 * 40 = 45
So, the investment ratio of P, Q, and R is 100 : 64 : 45.
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