The average price of three items of furniture is Rs 16860. If their prices are in the ratio 3:5:7, the price of the cheapest item (in Rs) is

Correct option is B

Given:
The average price of three items of furniture is Rs 16860.
The prices of the items are in the ratio 3:5:7.
Formula Used:

$$\text{Average Price} = \frac{\text{Total Price}}{\text{Number of Items}}$$​
Solution:
​$$\text{Average Price} = \frac{\text{Total Price}}{\text{Number of Items}}$$​
​$$16860 = \frac{\text{Total Price}}{3}$$​
$$\text{Total Price} = 16860 \times 3 = 50580$$​
Let the prices of the items be 3x,5x and 7x.
3x + 5x + 7x = 15x
15x = 50580
x =$$\frac{50580}{15} = 3372$$​
The cheapest item corresponds to the smallest ratio, which is 3x .
​$$\text{Price of Cheapest Item} = 3x = 3 \times 3372 = 10116$$​