Confused P.

asked • 09/08/17

Can you explain how this answer was arrived at?

I was going over past SAT questions and came across this one:
 
"A furniture store buys its furniture from a wholesaler. For a particular table, the store usually charges its cost from the wholesale plus 75%. During a sale, the store charged the cost from the wholesaler plus 15%. If the sale price of the table was $299, what is the usual price for the table?
A. $359
B. $455
C. $479
D. $524."
 
I understood that I only needed to find 75% of $299 and add the value I arrived at to 299. When I did that, my answer was D.
However, when I looked at the given solution, the answer was B. This is the explanation they gave:
"The sale price of the table was $299. This is equal to the cost from the wholesaler plus 15%. Thus, $299 = 1.15(cost from the wholesaler), and the cost from the wholesaler is $299/1.15 = $260. The usual price is the cost of the wholesaler, $260, plus 75%. Therefore, the usual price the store charges for the table is 1.75 8 $260 = $455, which is B."
 
It's a seemingly simple explanation, but I'm confused. Why do they have to take 15% of the price first? And doesn't 15% = 15/100, not 1.15; and 75% = 75/100 not 1.75? 
 
If you can explain the answer to the question better, please do!

2 Answers By Expert Tutors

By:

Kenneth S. answered • 09/08/17

Tutor
4.8 (62)

Expert Help in Algebra/Trig/(Pre)calculus to Guarantee Success in 2018

GRIZMO S.

Well as you see 100% is the total amount he bought it for and add 15 because it said it was on sail so 115% , we subtract 15% to find the original price the store owner bought it for which is 260$ then add 1.75 which is 100% plus 75% because 100% is the wholesalers price percentage and 75% more so 175% times the original price (260$) bought gives the original price of the STORE OWNER .
Report

10/16/20

Still looking for help? Get the right answer, fast.

Ask a question for free

Get a free answer to a quick problem.
Most questions answered within 4 hours.

OR

Find an Online Tutor Now

Choose an expert and meet online. No packages or subscriptions, pay only for the time you need.