Nathan V.
asked • 09/11/19Percents and their applications
”A publisher marks up a textbook by 70%, and a bookstore further marks up the textbook by 40%. What percentage of the original cost do you pay? ”
Please help I don't know how to solve it without the original cost
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1 Expert Answer
Mehmet T. answered • 09/11/19
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so if the cost is x. A mark up by 70% means,
x + x*70% = 1.7x
a 40% mark up after this means
1.7x + 1.7x*40% = 1.7x * (1 + 0.4) = x * 1.7 * 1.4 = 2.38x
So you pay 238% of the cost
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Nicole A.
If you would like to start with a number so it's easier to think about we could pretend it originally cost $100. So a 70% markup would be 100 x 1.70 = 170 (70% markup would be 100%+70%=170% or 1.7 as a decimal) Then a 40% markup on that would be 170 x 1.40= 238 (40% markup would be 100%+40%=140% or 1.4 as a decimal) So you can set a problem as the original cost × what %markup = 238 100 x ___%=238 dividing by 100 on each side of the equal sign solves for what % markup. 238/100=2.38 which is 238%09/12/19