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In order to clear out room for new merchandise, James decided to mark down some of the items for sale in his electronics store. He marked down DVD players by 36%, and he marked down stereo tuners by 22%. If DVD players cost $41.60 after the markdown and stereo tuners cost $69.42 after the markdown, which item’s price was reduced by more, and by how many dollars more was it reduced? Round all dollar values to the nearest cent.
a. The DVD player’s price was reduced by $3.82 more than the stereo tuner’s price.
b. The DVD player’s price was reduced by $27.82 more than the stereo tuner’s price.
c. The stereo tuner’s price was reduced by $0.29 more than the DVD player’s price.
d. The stereo tuner’s price was reduced by $27.53 more than the DVD player’s price.

Respuesta :

Answer: Option 'A' is correct.

Step-by-step explanation:

Since we have given that

Rate of mark down of DVD players = 36%

Rate of mark down of Stereo tuners = 22%

After mark down, the price of DVD players = $41.60

After mark down, the price of Stereo tuners = $69.42

So, we will find the original price of both.

Original price of DVD players is given by

[tex]\dfrac{100-36}{100}\times x=41.60\\\\\dfrac{64}{100}\times x=41.60\\\\ 0.64x=41.60\\\\x=\dfrac{41.60}{0.64}\\\\x=\$65[/tex]

Original price of Stereo tuners is given by

[tex]\dfrac{100-22}{100}\times x=69.42\\\\\dfrac{78}{100}\times x=69.42\\\\ 0.78x=69.42\\\\x=\dfrac{69.42}{0.78}\\\\x=\$89[/tex]

Reduction in price of DVD player is given by

[tex]65-41.60=\$23.4[/tex]

Reduction in price of Stereo tuners is given by

[tex]89-69.42=\$19.58[/tex]

Difference between them

[tex]\$23.4-\$19.58\\\\=\$3.82[/tex]

The DVD player’s price was reduced by $3.82 more than the stereo tuner’s price.

Hence, Option 'A' is correct.

voltairejohn27

Answer:

It is A I took the test

Step-by-step explanation:

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