A starts business with Rs. 3500 and after 5 months, B joins with A as his partner. After a year, the profit is divided in the ratio 2 : 3. What is B’s contribution in the capital?
papay dey Answered question 3 days ago
Let’s denote B’s contribution to the capital as x.
A invests Rs. 3500 for the entire year (12 months).
B invests x for 7 months (12 – 5).
The profit-sharing ratio is 2:3.
Since the profit is divided in the ratio of their investments multiplied by the duration, we can set up the following proportion:
(3500 × 12) : (x × 7) = 2 : 3
Simplify the equation:
42000 : 7x = 2 : 3
Cross-multiply:
3 × 42000 = 2 × 7x
126000 = 14x
Divide by 14:
x = 126000 / 14
x = 9000
B’s contribution to the capital is Rs. 9000.
papay dey Answered question 3 days ago