X, Y and Z invested a sum in the ratio of 58 : 72 : 20, respectively. If they earned a total profit of Rs. 3,750 at the end of the year, what is the difference between the shares of Y and Z?​

Correct option is A

Given:

The ratio of investments of X, Y, and Z = 58 : 72 : 20

Total profit = Rs. 3750

Time period is the same for all (1 year)

Formula Used:

Individual Share = $$\frac{\text{Individual Ratio}}{\text{Sum of Ratios}} \times \text{Total Profit}$$​​

Solution:
Sum of the ratio parts: 58 + 72 + 20 = 150

Share of Y: $$\frac{72}{150} \times 3750$$​ = 1800

Share of Z: $$\frac{20}{150} \times 3750$$ = 500

Difference between shares of Y and Z:

1800 - 500 = Rs. 1300

Alternate Solution(Exam-Hall trick):