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?
Let x be the usual price.So,x - 42%of x = 98.02x - 0.42x = 98.020.58x = 98.02x = 98.02 / 0.58 = 169.Original cost is $169. [ANSWER]Now check,42% of 169 is 70.98After 42% discount selling price becomes $169 - $70.98= $98.02.which means the answer is correct.
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.
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 !