A puts Rs 50 and B puts Rs 45 in a game. At the end of 4 months, A wit...
E) None of these Explanation: A’s share : B’s share : C’s share 50*4 + (50/2) * 8 : 45*6 + (45/2) * 6 : 70*6
80 : 81 : 84
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A puts Rs 50 and B puts Rs 45 in a game. At the end of 4 months, A wit...
Given:
A puts Rs 50, B puts Rs 45, and C puts Rs 70.
A withdrew half of his money at the end of 4 months.
B withdrew half of his money at the end of 6 months.
C remains until the end of the year.
To find: The ratio in which profit will be divided among A, B, and C.
Solution:
Let us calculate the total amount invested by A, B, and C and the time period for which they invested their money.
Total amount invested by A = Rs 50
Total amount invested by B = Rs 45
Total amount invested by C = Rs 70
A withdrew half of his money at the end of 4 months, so the amount remaining with him after 4 months = Rs 25.
B withdrew half of his money at the end of 6 months, so the amount remaining with him after 6 months = Rs 22.5.
Now, let us calculate the time period for which each of them invested their money.
A invested for 4 months and then withdrew half of his money. So, effectively he invested for 2 months.
B invested for 6 months and then withdrew half of his money. So, effectively he invested for 3 months.
C invested for the entire year i.e. 12 months.
Now, let us calculate the ratio in which profit will be divided among A, B, and C.
Ratio of profit = (Amount invested by A * Time period for which A invested) : (Amount invested by B * Time period for which B invested) : (Amount invested by C * Time period for which C invested)
Ratio of profit = (50 * 2) : (45 * 3) : (70 * 12)
Ratio of profit = 100 : 135 : 840
Ratio of profit = 20 : 27 : 168
Hence, the ratio in which profit will be divided among A, B, and C is 20 : 27 : 168. Therefore, option E is the correct answer.
A puts Rs 50 and B puts Rs 45 in a game. At the end of 4 months, A wit...
E) None of these Explanation: A’s share : B’s share : C’s share 50*4 + (50/2) * 8 : 45*6 + (45/2) * 6 : 70*6
80 : 81 : 84