An amount of ₹658 is divided among three persons in the ratio of 18 : 12 : 2. The difference between the largest and the smallest shares (in ₹) in the distribution is:

Correct option is A

Given:

Total amount = ₹658

Ratio = 18 : 12 : 2

Find the difference between the largest and smallest shares.

Solution:

Total ratio = 18 + 12 + 2 = 32

Largest share (18 parts):

​$$\frac{18}{32} \times 658 = \frac{9}{16} \times 658 = 370.125$$​​

Smallest share (2 parts):

​$$\frac{2}{32} \times 658 = \frac{1}{16} \times 658 = 41.125$$​​

Difference:

370.125 - 41.125 = ₹329