The average price of three items of furniture is Rs 15975. If their prices are in the ratio 3:5:7, the price of the costliest item (inRs) is

Correct option is D

Given:

Average price of the items = Rs 15975

Ratio of prices = 3 : 5 : 7

Solution:

Let the prices of the items be 3x, 5x, and 7x, where x is the common factor.

Average price = $$\frac{(Sum \ of \ the \ prices \ of \ the \ three \ items)} { 3}$$​​

15975 = $$\frac{(3x + 5x + 7x) }{ 3}$$​​

​$$15975 = \frac{3x + 5x + 7x}{3} \\\ \\15975 = \frac{15x}{3} \\\ \\15975 = 5x \\ x = \frac{15975}{5} \\\ \\x = 3195$$​​

Now, the price of the costliest item is 7x:

Price of costliest item = 7x

Price of costliest item = 7 × 3195

Price of costliest item = Rs 22365

Thus, the price of the costliest item is Rs 22365.