Question

Manav starts a business with Rs. 50,000 and later Karishma joins him with Rs. 120,000.After how many months did Karishma join, if the profit is distributed in equal ratio at the end of 2 years?
1. 10 months 
2. 14 months 
3. 12 months 
4. 11 months

Answer 1

Correct Answer - Option 2 : 14 months 

Given 

Manav's capital = Rs. 50,000 

Karishma's capital = Rs. 1,20,000 

Formula Used 

Investment = capital × time 

Investment ratio is equal to profit ratio 

Calculation 

⇒ Manav investment for 24 months = 50000 × 24 = 1200000

⇒ Karishma investment for x months = 120000 × x = 120000x

⇒ according to Question

Investment ratio = 1 : 1 

So, profit ratio = 1 : 1 

⇒ 1200000 = 120000x 

⇒ x = 10 months 

Karishma investment after month = 24 - 10 = 14 months 

∴ Karishma investment after 14 months