Question

‘A’ invested Rs. 9000 in a business and after sometime B invested with Rs. 7500 in the same business after some months. If ratio of their profit at the end of the year is 12 : 5 then for how long did B invested in the business.

1. 3 months
2. 5 months
3. 6 months
4. 11 months
5. 7 months

Answer 1

Correct Answer - Option 3 : 6 months

Given:

Investment of A = Rs. 9000

Investment of B = Rs. 7500

Ratio of their profit = 12 : 5

Concept used:

Partnership & Ratio method

Calculation:

Let the time period for B's investment be x

So, (9000 × 12)/(7500 × x) = 12/5

(90 × 12)/(75 × x) = 12/5

X = (90 × 12 × 5)/(12 × 75)

X = 6 months

∴ Time for which B invested in the business is 6 months