The price of some product was first raised by 20% and then reduced by 25%.
| April 28, 2021 | education
The price of some product was first raised by 20% and then reduced by 25%. How has the product price changed from the original price?
To solve this problem, remember that in order to find the percentage of the number, you need to multiply this number by the percentage and divide by one hundred. Let the initial price be x. Let’s increase the price by 20%.
x + 20 / 100x = x + 0.2x = 1.2x.
We will lower the resulting price by 25%.
1.2x – 0.25 * 1.2x = 1.2x – 0.3x = 0.9x.
to find how many percent one number is from another, you need to find the quotient of these numbers, and then translate it into percentages (for this, multiply the resulting number by 100%).
x – 0.9x = 0.1x.
0.1x / x * 100 = 0.1 * 100 = 10%.
Answer: decreased by 10%.
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