A began a business with Rs. 85,000. He was joined afterwards by B with Ks. 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 ?
A) 4 months
B) 5 months
C) 6 months
D) 8 months
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A is for 12 months in the venture.
B is for x months.
Let, y be the profit per month.
Profit gained by A= 12y
Profit gained by B= xy
Ratio of profit sharing = 3:1
12y:xy = 3:1
x=4
Since, amount invested by B is half, he needs to remain for twice the time.
So, total time spent by B= 8 months
B is for x months.
Let, y be the profit per month.
Profit gained by A= 12y
Profit gained by B= xy
Ratio of profit sharing = 3:1
12y:xy = 3:1
x=4
Since, amount invested by B is half, he needs to remain for twice the time.
So, total time spent by B= 8 months
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