Question

A invested Rs. 4500 in a business and after some time B also joined him and invested Rs. 4800. At the end of year B received Rs. 4400 profit out of Rs. 9900. After how much time did B join the business?

1. 1 months 
2. 2 months 
3. 4 months 
4. 3 months 
5. None of these 

Answer 1

Correct Answer - Option 4 : 3 months 

Given

A invested in a business = Rs. 4500

B Joined after some time and invested = 4800

B received profit after end of the year = 4400

Total profit = 9900

Calculation

A’s Profit at the end of year = Total profit – B’s Profit

⇒ 9900 - 4400 = Rs. 5500

Current Ratio of the profit = 5500 : 4400 

⇒ 5 : 4

Because the ratio of the capital is equals to the ratio of the profit then,

⇒ 4500 × 12 : 4800 × x = 5 : 4

⇒ 4(4500 × 12) = 5 (4800 × x)

⇒ x = 9 months

∴ B invested after 3 months.