Aptitude - Partnership - Discussion
Discussion Forum : Partnership - General Questions (Q.No. 11)
11.
A began a business with Rs. 85,000. He was joined afterwards by B with Rs. 42,500. For how much period does B join, if the profits at the end of the year are divided in the ratio of 3 : 1?
Answer: Option
Explanation:
Suppose B joined for x months. Then,
| Then, |  |
85000 x 12 | = | 3 |  |
| 42500 x x | 1 |
 x = |
|
85000 x 12 | |
= 8. |
| 42500 x 3 |
So, B joined for 8 months.
Discussion:
12 comments Page 2 of 2.
SUKUMAR SATYEN said:
1 decade ago
When investments of all the partners are 'for the same time', the gain or loss or liability is distributed among the partners in the ratio of their investments.
Let's assume that K is not variable, and K = 1, 000.
Therefore, A's investment = 85K*12/12.
Therefore, B's investment = 42.5K*T/12.
Where T = TIME PERIOD IN MONTHS.
=> A : B = (85K*12/12):(42.5K*T/12).
=> A : B = 85K*12:42.5K*T.
=> A : B = 85K*12:42.5K*T.
=> A : B = 2*12:T.
=> Share of Profit at end of 1 year.
=> 2*12:T = 3:1.
=> 2*12/3 = T.
=> T = 8 months.
Question asked, 'For how much period does B join?'
It did not ask, 'AFTER how much period does B join?'
Therefore, B joined in partnership for 8 months.
Let's assume that K is not variable, and K = 1, 000.
Therefore, A's investment = 85K*12/12.
Therefore, B's investment = 42.5K*T/12.
Where T = TIME PERIOD IN MONTHS.
=> A : B = (85K*12/12):(42.5K*T/12).
=> A : B = 85K*12:42.5K*T.
=> A : B = 85K*12:42.5K*T.
=> A : B = 2*12:T.
=> Share of Profit at end of 1 year.
=> 2*12:T = 3:1.
=> 2*12/3 = T.
=> T = 8 months.
Question asked, 'For how much period does B join?'
It did not ask, 'AFTER how much period does B join?'
Therefore, B joined in partnership for 8 months.
Tarun said:
4 years ago
85000 * 12 = 1020000,
1020000/3 = 340000,
340000/42500 = 8.
1020000/3 = 340000,
340000/42500 = 8.
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