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An ice cream machine is being sold by a couple since they wanted to venture into another business. They were trying to sell it for 10% off the marked price but no one wanted to buy it. Then they tried to sell it for 20% of the first sale price still no one bought the machine. Finally, they offered it for 25% off the second sale price when someone bought it for P32,400.00. What was the original price of the ice cream machine?
An ice cream machine is being sold by a couple since they wanted to venture into another business. They were trying to sell it for 10% off the marked price but no one wanted to buy it. Then they tried to sell it for 20% of the first sale price still no one bought the machine. Finally, they offered it for 25% off the second sale price when someone bought it for P32,400.00. What was the original price of the ice cream machine?
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Answer:
PERCENT is a number with % sign that is part of a hundred, sometimes it is expressed in decimal. Examples are 20% or 0.2 , and 34% or 0.34 .
The percentage of a number is obtained from MULTIPLYING THE NUMBER BY A PERCENT.
The problem above involves percentage and discount. DISCOUNT is an amount deducted from the original amount which is frequently offered by businesses to attract customers in buying products. Most of the time, discounts are expressed in percent with the word “off” after the percent. Say 20% off, that is the original price was deducted with 20% of the original price making the sale price 80% or 0.8 of the original price.
In the problem, since there is no original amount stated, we can let “x” as the original price of the ice cream machine.
Translating the second sentence, “They were trying to sell it for 10% off of the marked price” we get
x - 0.1x = 0.9x as the first sale price
Doing the same thing for the third one, we get
“then they sell it 20% off of the first sale price”
Recall that 1st sale price is 0.9x
20% off of 0.9x is
0.9x - (0.9x)(0.2) = 0.72x
Finally for the 4th one,
“they offered it for 25% off the second sale price when someone brought the machine it for PHP 32,400”
Recall that the 2nd sale price is 0.72x and 25% off of the 2nd sale price is
(0.72x) - (0.72x)(0.25) = 0.54x
But someone bought the machine for 32,400 when they had the 3rd sale price. Thus we say,
0.54x = 32,400
x = 60,000
Therefore, the original price is 60,000.
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Step-by-step explanation:
from brainly.ph/question/1962869