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?
papay dey Answered question 4 days ago
Let’s denote the duration for which B joined the business as x months.
A invests Rs. 85,000 for the entire year (12 months).
B invests Rs. 42,500 for x months.
The profit-sharing ratio is 3:1.
Since the profit is divided in the ratio of their investments multiplied by the duration, we can set up the following proportion:
(85000 × 12) : (42500 × x) = 3 : 1
Simplify the equation:
1020000 : 42500x = 3 : 1
Cross-multiply:
1 × 1020000 = 3 × 42500x
1020000 = 127500x
Divide by 127500:
x = 1020000 / 127500
x = 8
B joined the business for 8 months.
papay dey Answered question 4 days ago
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