If the money was put in for the same duration of time by A,B and C, three business partners and four times A’s capital is equal to 6 times B’s capital is equal to 10 times C’s capital.Determine that out of a total profit of Rs 4650 what is C’s share?Rs.2250Rs.1550Rs.450Rs.900
Question
If the money was put in for the same duration of time by A,B and C, three business partners and four times A’s capital is equal to 6 times B’s capital is equal to 10 times C’s capital.Determine that out of a total profit of Rs 4650 what is C’s share?Rs.2250Rs.1550Rs.450Rs.900
Solution
Given that four times A’s capital is equal to six times B’s capital is equal to ten times C’s capital, we can say:
4A = 6B = 10C
Let's assume a common variable, x. So, we can write the above equation as:
A = x/4 B = x/6 C = x/10
The total capital (A + B + C) will be:
x/4 + x/6 + x/10 = x(15 + 10 + 6) / 240 = x*31/240
Now, we know that the profit is divided in the ratio of their capitals. So, the share of C will be:
C's share = Total Profit * (C's capital / Total capital) = 4650 * (x/10) / (x*31/240) = 4650 * (1/10) / (31/240) = 4650 * 24 / 310 = Rs. 900
So, C's share of the total profit of Rs 4650 is Rs. 900.
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