Question

Shubham invested Rs.2250 in a business and after some time Rahul joined him with investment of Rs.2500. At the end of year Rahul received Rs.2750 profit out of Rs.6050. After how much time Rahul joined the business?

1. 6months
2. 3months
3. 2months
4. 9months
5. 5months

Answer 1

Correct Answer - Option 2 : 3months

Given:

Investment of Shubham = Rs.2250

Time period of Shubham = 1Year i.e. 12 Months

Investment of Rahul = Rs.2500

Total Profit = Rs.6050

Profit of Rahul = Rs.2750

Calculation:

Profit of Shubham = 6050 – 2750 = Rs.3300

Ratio of profit = 3300 : 2750

⇒ 6 : 5

The Ratio of capital is equal to the ratio of profit. Then,

⇒ 2250 × 12 : 2500 × X = 6 : 5

⇒ 5(2250 × 12) = 6(2500 × X)

⇒ X = 9 months 

∴ Rahul invested after 3 months.