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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. Find the ratio of the prices of x and y in the year 2012.


1. 24 : 11
2. 27 : 11
3. 28 : 11
4. 28 :13

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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

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