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Chaman starts a business with Rs. 30,000 and later Dheeraj joins him with Rs. 40,000.After how many months did Dheeraj join, if the profit is distributed in equal ratio at the end of year?
1. 3  months 
2. 4 months
3. 5 months
4. 6 months 

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Correct Answer - Option 1 : 3  months 

Given 

Chaman starts a business = Rs. 30,000 

Dheeraj investment = Rs. 40,000 

Formula Used 

Investment = capital × time 

Calculation 

Chaman investment for 12 months = 30000 × 12 = Rs. 360000

Dheeraj investment for x months = 40000 × x = 40000x 

⇒ Profit Ratio = 1 : 1 

⇒ investment ratio = 1 : 1 

⇒ 360000 = 40000x 

⇒ x = 9 months 

⇒ Dheeraj invest the capital = 9 months 

⇒ so Dheeraj join the business after = 12 - 9 = 3 months 

∴ Dheeraj invest the money after 3 months 

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