The price of a car is reduced by 10% three weeks in a row. By the end of the third week, what was the percentage drop in price? Write the answer to the nearest whole number.Percentage price drop = %
Question
The price of a car is reduced by 10% three weeks in a row. By the end of the third week, what was the percentage drop in price? Write the answer to the nearest whole number.Percentage price drop = %
Solution 1
To solve this problem, we need to understand that the price of the car is reduced by 10% each week, not from the original price, but from the price of the previous week.
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In the first week, the car is reduced by 10% of its original price. If we assume the original price is 100%, after the first week, the price would be 90% of the original price.
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In the second week, the car is reduced by 10% of the price after the first week. So it's reduced by 10% of 90%, which is 9%. So after the second week, the price is 90% - 9% = 81% of the original price.
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In the third week, the car is reduced by 10% of the price after the second week. So it's reduced by 10% of 81%, which is 8.1%. So after the third week, the price is 81% - 8.1% = 72.9% of the original price.
So, the total percentage drop in price after three weeks is 100% - 72.9% = 27.1%. Rounded to the nearest whole number, the percentage price drop is 27%.
Solution 2
To solve this problem, we need to understand that the price of the car is reduced by 10% each week, not from the original price, but from the price of the previous week.
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In the first week, the price is reduced by 10%. So, if the original price is considered as 100%, after the first week, the price would be 90% of the original price.
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In the second week, the price is reduced by 10% of the price at the end of the first week. So, the price would be 90% of the price at the end of the first week, which is 90% * 90% = 81% of the original price.
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In the third week, the price is reduced by 10% of the price at the end of the second week. So, the price would be 90% of the price at the end of the second week, which is 90% * 81% = 72.9% of the original price.
So, by the end of the third week, the price of the car has dropped to 72.9% of the original price. This means that the percentage drop in price is 100% - 72.9% = 27.1%.
Rounding to the nearest whole number, the percentage drop in price is 27%.
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