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  1. John’s share in a partnership is Rs. 1000 more than the Smith’s but John’s capital is invested for 8 months while Smith’s for 12 months. If John’s share of the yearly profit is the same as that of Smith, what is John’s capital?

Options:
A .  Rs.2000
B .  Rs.3000
C .  Rs. 4000
D .  Rs. 5000
Answer: Option B

Let Smith's capital be x.
Then, John's capital = (x + 1000).

Since, John's share of the yearly profit is the same as that of Smith, we can equate the profits made by both of them.

Profit made by John = (John's capital * Rate of Interest * Time in months)/12
Profit made by Smith = (Smith's capital * Rate of Interest * Time in months)/12

Therefore, (x + 1000) * Rate of Interest * 8/12 = x * Rate of Interest * 12/12

On solving the above equation, we get x = 3000.

Hence, the answer is Rs. 3000.

Explanation:
In a partnership, the profit is usually divided among the partners in the ratio of their capital contributions. However, if one of the partners has invested for more time than the other one, then the profit is divided in the ratio of their capital contributions as well as the respective time periods for which they have invested.

In the given question, John has invested for 8 months while Smith has invested for 12 months. Hence, in order to make the profit ratio equal, we need to equate the profits made by both of them, taking into account their capital contributions as well as their respective time periods.

Therefore, John's capital = (x + 1000) = Rs. 3000.

If you think the solution is wrong then please provide your own solution below in the comments section .


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