An amount of ₹682 is divided among three persons in the ratio of 18 : 3 : 9. Thedifference between the largest and the smallest shares (in ₹) in the distribution is:

Correct option is C

Given:

The amount to be divided = ₹682

The ratio of the shares = 18 : 3 : 9

We need to find the difference between the largest and smallest shares in the distribution.

Formula Used:

Total parts = Sum of the parts of the ratio

Share of each person = $$\frac{\text{Total amount}}{\text{Total parts}} \times \text{Ratio for each person}$$​​

Solution:

Total parts in the ratio:

Total parts = 18 + 3 + 9 = 30

Now, difference between smallest and largest 

= 18 - 3 = 15 part 

So, 

difference of value = $$\frac{682}{30}\times 15 = ₹341$$​​