Question 117

The price of an article is first decreased by 20% and then increased by 30%. If the resulting price is 416, the original price of the article is

Solution

Let the original price of the article = $$100x$$

After decreasing it by 20 % => $$\frac{20}{100} * 100x = 20x$$

=> The price becomes = $$100x-20x = 80x$$

Now, increasing it by 30% => $$\frac{30}{100} * 80x = 24x$$

=> The price becomes = $$80x+24x = 104x$$

Now, $$104x = 416$$

=> $$x$$ = 4

=> Original Price = 4*100 = 400

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