Ishita and Isha invest in a business in the ratio 31 : 23. If total profit is Rs. 2646, then what is difference between the profit (in Rs.) of Ishita and Isha?

Correct option is B

Given:

Ishita and Isha's investment ratio = 31 : 23

Total profit = ₹2646

Concept Used:

Profit sharing is proportional to the investment made.

Solution:

Total parts = 31 + 23 = 54

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

Ishita's share = $$\frac{31}{54}$$​$$\times$$​ ₹2646 = ₹1519

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

Isha's share = $$\frac{23}{54}\times$$​ ₹2646 = ₹1127

Difference = Ishita's share - Isha's share

Difference = ₹1519 - ₹1127 = ₹392

Therefore, the difference between the profits of Ishita and Isha is ₹392.

Option (B) is right. 

Alternate Solution: ​

Profit ratio = Investment ratio 

So, Let profit of Ishita and Isha is 31x and 23x 

Now, Total profit = 2646 

31x + 23x = 2646 

54x = 2646 

x = 49 

Difference = 31x - 23x = 8x = 8 $$\times 49 = 392$$​​