A and B invest in a business in the ratio 5 : 7. After 4 months, C joins the business with an investment equal to the amount invested by A. At the end of one year, the total profit is ₹92,000. Find the sum (in ₹) of the shares of partners B and C.
₹62,000
Let A invest 5 units and B invest 7 units of capital. Both A and B stay for the full 12 months.
C joins after 4 months with an investment equal to A's, i.e. 5 units, and so remains for \(12 - 4 = 8\) months.
Profit is shared in the ratio of capital multiplied by time. A's weight is \(5 \times 12 = 60\), B's weight is \(7 \times 12 = 84\), and C's weight is \(5 \times 8 = 40\).
The total of the weights is \(60 + 84 + 40 = 184\).
The combined share of B and C corresponds to \(84 + 40 = 124\) parts out of 184.
So B and C together receive \(\frac{124}{184} \times 92000 = 124 \times 500 = 62000\) rupees.
Hence, the sum of the shares of partners B and C is ₹62,000.
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Important Questions from Partnership
Kiran, Vimal and Naveen started a business by investing Rs. 1,35,000, Rs. 1,50,000 and Rs. 1,65,000 respectively. Find the share of each (respectively), out of an annual profit of Rs. 60,000.
When the incoming partner cannot bring premium for goodwill, then the necessary adjustment for goodwill is done through which one of the following?
A, B, C invest Rs. 20000, Rs. 30000, Rs. 40000 in a business. After one year, A withdrew his money but B and C continued for one more year. If the net profit after 2 years be Rs. 32000, then A’s share in the profit is:
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