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# Two Questions On Percents-Thanks So Much!

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At a 9% off sale Alexandra bought a new drill and saved \$17. How much did she pay for the drill? (two decimal places)

Richard's furniture store bought a couch and marked the price up 31%. At a 11% off sale the couch sold for \$2,820. How much did Richard pay for the couch originally? (two decimal places)

Jun 28, 2018

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At a 9% off sale Alexandra bought a new drill and saved \$17. How much did she pay for the drill? (two decimal places)

Call the original price, P

9%  off  = 91%  of the original price  = .91P

And a savings of \$17  = P - 17

So we have

P ( .91)  = P -  17     add 17 to both sides,  subtract .91P from both sides

17  =  1P  - .91P

17  = .09P     divide both sides by .09

\$188.88  = P  (the original price )

Richard's furniture store bought a couch and marked the price up 31%. At a 11% off sale the couch sold for \$2,820. How much did Richard pay for the couch originally? (two decimal places)

Call the original price that Richard paid, P

The price after the markup was  (1.31) P

After an 11%  markdown the price was  ( 1.31 P ) (.89)

So we have

(1.31 P ) (.89)  = 2820

1.1659 P = 2820       divide both sides by  1.1659

P  = 2820 / 1.1659  =  \$2418.73

Jun 28, 2018