Correct Answer - Option 3 : 28 : 11

**Given:**

The price of an article x in 2010 was double the price of another article y.

In 2012, the prices of article x and y went up by 40% and 10% respectively.

The ratio of the prices of x and y in the year 2012 was 24 : 11.

**Formula used:**

Profit or Gain = Selling price – Cost Price

Loss = Cost Price – Selling Price

Profit percentage = (Profit /Cost Price) × 100

Loss percentage = (Loss / Cost price) × 100

**Calculation: **

Let the price of X in 2010 be 2x and the price of Y in 2010 be x.

In 2012, price of X = 1.4 × 2x = 2.8x

In 2012, price of Y = 1.1 × x = 1.1x

The ratio of the prices of x and y in the year 2012 = 28 : 11

**∴ required ratio is 28 : 11**