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P and Q started a business in the ratio of 2:3. After 1 year P left the business but Q continues. After 2 years he had a profit of Rs 26000. What is the profit of Q?

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JKSSB SI Official Paper (Held On: 14 Dec 2022 Shift 2)
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  1. Rs 19500
  2. Rs 12500
  3. Rs 14500
  4. Rs 20500

Answer (Detailed Solution Below)

Option 1 : Rs 19500
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Detailed Solution

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Given:

P and Q started a business in the ratio of 2:3. A

After 2 years they had a profit of ₹26,000.

Formula used:

Profit share = Investment × Time

Calculation:

Let's assume P's investment = 2x and Q's investment = 3x.

P's investment duration = 1 year, so P's share = 2x × 1 = 2x

Q's investment duration = 2 years, so Q's share = 3x × 2 = 6x

Total share = 2x + 6x = 8x

Total profit = ₹26,000

P's profit = (2x/8x) × ₹26,000 = (1/4) × ₹26,000 = ₹6,500

Q's profit = ₹26,000 - ₹6,500 = ₹19,500

∴ The correct answer is option 1.

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Last updated on Jul 4, 2024

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-> JKSSB Sub Inspector Notification 2024 has been released for 669 vacancies.

-> Graduates between 18-28 years of age who are domiciled residents of Jammu & Kashmir are eligible for this post.

-> Candidates who will get the final selection will receive a JKSSB Sub Inspector Salary range between Rs. 35,700 to Rs. 1,13,100.

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