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    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
    Question

    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?

    A.

    242

    B.

    392

    C.

    292

    D.

    442

    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 =Ishita’s ratioTotal parts×Total profit\frac{\text{Ishita's ratio}}{\text{Total parts}} \times \text{Total profit}​​

    Ishita's share = 3154\frac{31}{54}×\times​ ₹2646 = ₹1519

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

    Isha's share = 2354×\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 ×49=392\times 49 = 392​​

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