The price of milk was first increased by 10% and then decreased by 20%.What is the net percentage change in final price of milk?
Question
The price of milk was first increased by 10% and then decreased by 20%. What is the net percentage change in final price of milk?
Solution
Let's assume the initial price of the milk is $100 for simplicity.
Step 1: Increase by 10% The price of the milk is increased by 10%. So, the new price is 100 + 10% of 100 = $110.
Step 2: Decrease by 20% Now, the price of the milk is decreased by 20%. So, the new price is 110 - 20% of 110 = $88.
Step 3: Calculate the net percentage change The initial price of the milk was 88. So, the change in price is 88 - 100 = -$12.
To find the percentage change, we divide the change in price by the initial price and multiply by 100. So, the percentage change is (-12/100) * 100 = -12%.
So, the net percentage change in the final price of the milk is -12%. This means the final price of the milk is 12% less than the initial price.
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