# Jay started a business investing Rs. 12,000. After four months, Ajay joined him with a capital of Rs. 16,000. At the end of the year, they made a profit of Rs. 5,100. What should Ajay's share be in the venture?

This question was previously asked in
MP Police Constable Previous Paper 21 (Held On: 31 Aug 2017 Shift 1)
View all MP Police Constable Papers >
1. Rs. 2,400
2. Rs. 2,700
3. Rs. 3,600
4. Rs. 3,200

Option 1 : Rs. 2,400

## Detailed Solution

Given:

Total annula profit = Rs. 5100

Investment of Jay = Rs. 12000

Investment of  Ajay = Rs. 16000

Time period of investment of Jay = 12 months

Time period of investment of Ajay = 8 months

Concept Used:

Profit Ratio = (Investment × Time Period) Ratio

Calculation:

Investment × time period of Jay = 12000 × 12

Investment × time period of Ajay = 16000 × 8

Profit Ratio of (Jay : Ajay) = 12000 × 12 : 16000 × 8

⇒ Profit Ratio of (Jay : Ajay) = 9 : 8

Now, share of Ajay =  5100 × 8/17

∴ Share of Ajay = Rs. 2400
The text passage contains a mathematical question about profit sharing in a business partnership, along with a detailed solution and the correct answer.
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First, describe the content structure you found in 1-2 sentences.

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TYPE: <one of the following values>
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# Jay started a business investing Rs. 12,000. After four months, Ajay joined him with a capital of Rs. 16,000. At the end of the year, they made a profit of Rs. 5,100. What should Ajay's share be in the venture?

This question was previously asked in
MP Police Constable Previous Paper 21 (Held On: 31 Aug 2017 Shift 1)
View all MP Police Constable Papers >
1. Rs. 2,400
2. Rs. 2,700
3. Rs. 3,600
4. Rs. 3,200

Option 1 : Rs. 2,400

## Detailed Solution

Given:

Total annula profit = Rs. 5100

Investment of Jay = Rs. 12000

Investment of  Ajay = Rs. 16000

Time period of investment of Jay = 12 months

Time period of investment of Ajay = 8 months

Concept Used:

Profit Ratio = (Investment × Time Period) Ratio

Calculation:

Investment × time period of Jay = 12000 × 12

Investment × time period of Ajay = 16000 × 8

Profit Ratio of (Jay : Ajay) = 12000 × 12 : 16000 × 8

⇒ Profit Ratio of (Jay : Ajay) = 9 : 8

Now, share of Ajay =  5100 × 8/17

∴ Share of Ajay = Rs. 2400
user
The text passage contains a mathematical question about profit sharing in a business partnership, along with a detailed solution and the correct answer.

TYPE: SINGLE_QUESTION_WITH_ANSWER