Sazimordecai
Please can you help me with why x has to be greater than 100. I see the explanation you gave over here that because the price increases x has to greater than 100. Can you shed some light on that. I don’t get it
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1. Let's say the original price was $20.
Now, let's say that the new price were also $20, what would the value of X be?
New price = X% of the original price
20 = X% of 20
X = ?
X = 100 in this case.
20 = 100% of 20.
With me thus far?
2. The question mentions: "the factory raised the price of each widget to X% of the original price".
The factory
raised the price. So the new price is higher than the old one.
So if the original price was 20, the new price has to be greater than 20.
So, what can we say about the value of X now?
Let's say the new price is $25.
25 = X% of 20
X = 25/20 * 100
X = 125
Remember, the price was raised TO X% of the original price, and not BY X% of the original price. I've explain this further in the
complete solution.
Can X be less than 100? e.g. 90?
New price = X% of original price
If X = 90,
New price = 90% of 20
New price = 18.
This new price is lower than the original price. We can't have that. So, X has to be greater than 100.
Tell me if something is still not clear.