Calculate Investment Difference from Profit Share
Profit sharing in a business partnership is typically proportional to the investment made by each partner. We can use Kunal's share of the total profit to determine his share of the total investment.
1. Determine Kunal's Profit Share Ratio
The ratio of Kunal's profit to the total profit represents his share in the business.
Kunal's Profit Share Ratio = $ \frac{\text{Kunal's Profit}}{\text{Total Profit}} $
Kunal's Profit Share Ratio = $ \frac{₹6,300}{₹19,500} = \frac{63}{195} $
Simplifying the fraction by dividing the numerator and denominator by 3:
Kunal's Profit Share Ratio = $ \frac{63 \div 3}{195 \div 3} = \frac{21}{65} $
2. Calculate Kunal's Investment
Since the profit share is proportional to the investment, Kunal's investment is the same fraction of the total investment.
Kunal's Investment = Kunal's Profit Share Ratio $ \times $ Total Investment
Kunal's Investment = $ \frac{21}{65} \times ₹36,400 $
Kunal's Investment = $ 21 \times \frac{36400}{65} $
Kunal's Investment = $ 21 \times 560 $
Kunal's Investment = $ ₹11,760 $
3. Calculate Anshuman's Investment
Anshuman's investment is the remaining amount from the total investment.
Anshuman's Investment = Total Investment $ - $ Kunal's Investment
Anshuman's Investment = $ ₹36,400 - ₹11,760 $
Anshuman's Investment = $ ₹24,640 $
4. Calculate the Difference Between Investments
The difference is found by subtracting the smaller investment from the larger one.
Difference = Anshuman's Investment $ - $ Kunal's Investment
Difference = $ ₹24,640 - ₹11,760 $
Difference = $ ₹12,880 $
Similar Questions
- P, Q and R started a business investing amounts of ₹2,030, ₹1,700, and ₹1,010, respectively. If Q's share in the profit earned by them is ₹975. what is the difference in the profit (in ₹) earned by P and R?
- P, Q and R invested a sum in the ratio of 12 : 82 : 38, respectively. If they earned a total profit of ₹3,510 at the end of year, what is the difference between the shares of Q and R?
- P, Q and R invest a sum in the ratio of 59 : 14 : 72, respectively. If they earned a total profit of ₹4,790 at the end of the year, what is the difference between the shares of Q and R?
- Ritu, Sameer, and Isha invest ₹1,190, ₹1,060, and ₹1,350, respectively, to start a business. If the profit at the end of the year is ₹1,640, then what is the share of Isha in the profit?
- Salman and Vivek together invested ₹33,900 in a business. At the end of the year, out of a total profit of ₹10,000, Vivek's share was ₹3,700. What was the difference between their investments?
- A company earns a profit (in ₹) that is distributed among the company's three partners in the ratio of 14 : 10 : 16. If the difference between the smallest and the largest shares is ₹29,547, the total profit (in ₹) of the company is:
- M and N started a business. M invested ₹48,000 more than N for 3 months, while N invested for 4 months. M's share is ₹498 more than that of N, out of a total profit of ₹1,494. Find the capital contributed by M.
- M and N start a business. M invests ₹24,000 more than N for 3 months and N invests for 4 months. M's share is ₹962 more than that of N, out of a total profit of ₹7,696. Find the capital contributed by M.
- Two partners A and B started a business with the capitals of ₹12,000 and ₹18,000 respectively and made a profit of ₹1,800 at the end of the $1^{\text{st}}$ year. Find the profit share of B.
- A started a business with a capital of ₹15000, B joined him after 2 months with a capital of ₹20,000. The ratio in which the profit at the end of the year divided between A and B is:
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:
