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If someone bought a bag that cost $98.02 after discount. She was given a 42% discount. What was the usual price of the bag?

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Let x be the usual price.

So,
x - 42%of x = 98.02

x - 0.42x = 98.02

0.58x = 98.02

x = 98.02 / 0.58 = 169.
Original cost is $169. [ANSWER]

Now check,
42% of 169 is 70.98
After 42% discount selling price becomes $169 - $70.98= $98.02.
which means the answer is correct.

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The usual price of the bag is $169.00. To get this, we need to assume that $98.02 is 58% of the initial price and then calculate to find the 100% price. If 58% = $98.02, 100% =x and then calculate to get the value of x.

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$ 169

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If its 42% "off" then you paid 58% of the original price, so...
.58 of what is 98.02.
.58X=98.02. Divide by .58 Done !

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