The average price of three items of furniture is Rs. 15000. If their prices are in the ratio 3 : 5 : 7, the price of the cheapest item is-

Answer: Option A

Let their prices be 3x, 5x and 7x respectively
Then,
⇒ 3x + 5x + 7x = 15000 × 3
⇒ 15x = 45000
⇒ x = 3000
∴ Cost of cheapest item
= Rs. (3000 × 3)
= Rs. 9000