The price of an article is decreased by 10%. Later the new price is increased by 10%. If the latest price is 990, the original price is
Question
The price of an article is decreased by 10%. Later the new price is increased by 10%. If the latest price is 990, the original price is
Solution
Step 1: Understand that the final price is 990 after a 10% increase.
Step 2: To find the price before the increase, you need to reverse the increase by dividing the final price by 1.10 (because a 10% increase is the same as multiplying by 1.10).
990 / 1.10 = 900
So, the price of the article after the first decrease was 900.
Step 3: Now, you need to find the original price before the 10% decrease. To do this, you reverse the decrease by dividing the price after the decrease by 0.90 (because a 10% decrease is the same as multiplying by 0.90).
900 / 0.90 = 1000
So, the original price of the article was 1000.
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