Calculate Total Profit
We are given that 11% of the total profit amounts to ₹61,336. Let the total profit be denoted by \(P\).
The equation is:
\(0.11 \times P = 61,336\)
Solving for \(P\):
\(P = \frac{61,336}{0.11} = 557,600\)
So, the total profit generated by the business is ₹557,600.
Determine Profit Sharing Ratio
Profit sharing depends on the investment amount and the duration each partner stays in the business. The product of investment and time determines the shareable unit for each partner.
- A's Contribution: Invested ₹93,000 for the full year (12 months). \(A's \, product = 93,000 \times 12 = 1,116,000\)
- B's Contribution: Invested ₹54,000 for 3 months. \(B's \, product = 54,000 \times 3 = 162,000\)
- C's Contribution: Invested ₹28,000 for the remaining period (12 - 3 = 9 months). \(C's \, product = 28,000 \times 9 = 252,000\)
The ratio of profit sharing is A : B : C = \(1,116,000 : 162,000 : 252,000\).
To simplify this ratio, we can divide all parts by 1,000:
\(1116 : 162 : 252\)
Further simplifying by dividing by a common factor, such as 18:
\(\frac{1116}{18} : \frac{162}{18} : \frac{252}{18}\)
\(62 : 9 : 14\)
The simplified profit sharing ratio is \(62:9:14\).
Calculate B's Profit Share
First, find the sum of the ratio parts:
Total ratio parts = \(62 + 9 + 14 = 85\)
B's share of the profit is calculated using B's ratio part (9) out of the total ratio parts (85), multiplied by the total profit.
B's Profit = \(\left( \frac{9}{85} \right) \times \text{Total Profit}\)
B's Profit = \(\frac{9}{85} \times 557,600\)
B's Profit = \(9 \times \left( \frac{557,600}{85} \right)\)
B's Profit = \(9 \times 6,560\)
B's Profit = \(59,040\)
Therefore, B's share of the profit is ₹59,040.
Similar Questions
- A and B start a business by investing ₹40,000 and ₹60,000, respectively. At the end of the year, they earn a profit of ₹20,000. How much profit will A receive?
- Two partners M and N buy a car. M pays his share of $\frac{3}{7}$th of the total cost of the car. M pays ₹ 31,540 less than N. What is the cost of the car?
Important Questions from Partnership
A, B and C invest in a business in the ratio 4 ∶ 5 ∶ 7. C is a sleeping partner, so his share of profits will be half of what it would have been if he were a working partner. If they make Rs 36,000 profit of which 25% is reinvested in the business, how much does B get (in Rs)?
Sumit, Ravi and Puneet invest Rs. 45000, Rs. 81000 and Rs. 90000 respectively to start a business. At the end of the year the total profit is Rs. 4800. 30% of the total profit gives in charity and rest is divided among them. What will be the share of Sumit?
A sum of ₹ 159250 is divided among A, B, C, and D such that the ratio of the shares of A and B is 1 : 3, that of B and C is 2 : 5, and that of C and D is 2 : 3. The share (in ₹) of A is:
A and B start a business by investing Rs. 1,00,000 and Rs. 1,50,000 respectively. Find the respective share of each out of a total profit of Rs. 24, 000.
Two partners A and B have started business with the capitals of Rs. 6,000 and Rs. 8,000 respectively. If they made profit of Rs. 5,600 then the share (in Rs.) of A is:
