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The price of two articles is in the ratio of 4 : 3 respectively. The price of first article is increased by 50% and the price of second article is decreased by 10%. If the new price of second article is Rs. 54, then what was the original price of first article?

The price of two articles is in the ratio of 4 : 3 respectively. The price of first article is increased by 50% and the price of second article is decreased by 10%. If the new price of second article is Rs. 54, then what was the original price of first article? Correct Answer Rs. 80

Given:

The price of two articles is in ratio 4 : 3

The price of the first article is increased by 50% and the price of the second article be decreased by 10%.

The new price of the second article = Rs. 54

Calculation:

Let the original price of the second article be 100

According to the question price of the second article decreased by 10%

So 90 = Rs. 54

⇒ 1 = Rs. 54 / 90

⇒ 100 = Rs. (54 / 90) × 100

⇒ Rs. 60

So the original price of the second article = Rs. 60

According to the question original price of the first and second article in the ratio = 4 : 3

So 3 = Rs. 60

⇒ 4 = Rs. 80

∴ The original price of the first article is Rs. 80

Mistake PointsQuestion asks for the original price not the after increased price. Read the question carefully. 

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