Question

Shubham invested Rs. 2250 in a business and after some time Shivam also join him and invested Rs. 2500. At the end of year Shivam received Rs. 2750 profit out of Rs. 6050. After how much time did he join the business.
1. 9 months
2. 6 months
3. 3 months
4. 4 months
5. 8 months

Answer 1

Correct Answer - Option 3 : 3 months

Given:  

Shubham invests Rs.2250, and after some time Shivam invests Rs. 2500

Calculation: 

Let the time after which Shivam invest his rupees be x

⇒ Shubham's Profit = 6050 - 2750 = 3300 Rs.

⇒ Shivam's profit = 2750 Rs.

The ratio of the profit = 3300 : 2750

⇒  6 : 5

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

⇒ 2250 × 12 : 2500 × x = 6 : 5

⇒ 5 ( 2250 × 12) = 6 ( 2500 × x)

⇒  x = 9 months

∴  Shivam invested after 3 months.