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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. 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?
  3. 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?
  4. 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?
  5. 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?
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  7. 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.
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Important Questions from Partnership

  1. Three partners X, Y and Z started their business by investing ₹40,000, ₹38,000 and ₹30,000, respectively. After 6 months, X and Z made additional investments of ₹20,000 and ₹15,000 respectively, whereas Y withdrew ₹8,000. Find the share of Y (in ₹) in the total profit of ₹38,880 made at the end of the year.

  2. A, B and C invested their capitals in the ratio 2 ∶ 3  ∶ 5. The ratio of months for which they invested is 4 ∶ 2 ∶ 3, respectively. If the difference between the profit shares of A and B is Rs. 1,86,000, then C's share of profit (in Rs.) is:

  3. A started a business with a capital of Rs. 54,000 and admitted B and C after 4 months and 6 months, respectively. At the end of the year, the profit was divided among the three in the ratio 1 ∶ 4  ∶ 5. What is the sum (in Rs.) of the capitals invested by B and C?

  4. A, B and C started a business in partnership. Initially, A invested Rs. 29,000, while B and C invested Rs. 25,000 each. After 4 months, A withdrew Rs. 3,000. After 2 more months, C invested Rs. 12,000 more. Find the share of C( in Rs.) in the profit of Rs. 33,200 at the end of the year.

  5. 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)?

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