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Question

Anshuman and Kunal together invested ₹36,400 in a business. At the end of the year, out of a total profit of ₹19,500, Kunal's share was ₹6,300. What was the difference between their investments?

This question was previously asked in
RRB NTPC 2024 CBT 1 Question Paper (28-Aug-2025) (Shift 3)
The correct answer is
₹12,880

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 $

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Similar Questions

  1. 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?
  2. 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?
  3. 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?
  4. 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.
  5. 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:
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Important Questions from Partnership

  1. 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.

  2. When the incoming partner cannot bring premium for goodwill, then the necessary adjustment for goodwill is done through which one of the following?

  3. 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:

  4. Manoj received Rs. 6000 as his share out of the total profit of Rs. 9000 which he and Ramesh earned at the end of one year. If Manoj invested Rs. 20000 for 6 months, whereas Ramesh invested his amount for the whole year, what was the amount invested by Ramesh?

  5. Three friends A, B, and C invested Rs. 20,000, Rs. 18,000, and Rs. 14,000, respectively in a business. If at the end of the year they got a profit of Rs. 7,800, then the profit share of B would be:

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