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 be Rs. $$100x$$

When price is decreased by 20%, new price = $$100x - \frac{20}{100} * 100x = 80x$$

Again, when price is increased by 30%, new price = $$80x + \frac{30}{100} * 80x = 104x$$

Acc to ques :

=> $$104x = 416$$

=> $$x = 4$$

$$\therefore$$ Original price = 100*4 = Rs. 400

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