​A and B entered into a partnership investing ₹20,000/- and ₹16,000/-, respectively. After 3 months, C joined them with an investment of ₹15,000/-. What is B's share (in ₹) if the half yearly profit of them is ₹4,350/-? ​

Correct option is A

Given:

Investment of A= 20000

Investment of B = 16000

Investment of C = 15000 (Only for 3 months)

Half yearly profit = 4350

Duration of Investment = 6 months

Solution:

Ration of Investment for the duration of 6 months of each partners:

A:B:C = 20000×6 : 16000×6 : 15000×3 

A:B:C = 40: 32 : 15

​$$\text{B's share} = \frac{\text{B's ratio}}{\text{Total ratio}} \times \text{Total profit}$$ 

$$\text{B's share} = \frac{32}{40 + 32 + 15} \times 4,350$$ 

$$= \frac{32}{87} \times 4,350$$

= Rs.1600