Four different stores have the same digital camera on sale. The original price and discounts offered by each store are listed below. Rank the stores from the cheapest to most expensive sale price of the camera. Store A: price $99. 99 and discount of 15% Store B: price $95. 99 and discount of 12% Store C: price $90. 99 and discount of 10% Store D: price $89. 99 and successive discounts of 5% and 5% a. A, B, C. D b. A, B, D, C c. D, A, B, C d. D, C, B, A Please select the best answer from the choices provided A B C D.

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01-02-2022
Business

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Four different stores have the same digital camera on sale. The original price and discounts offered by each store are listed below. Rank the stores from the cheapest to most expensive sale price of the camera. Store A: price $99. 99 and discount of 15% Store B: price $95. 99 and discount of 12% Store C: price $90. 99 and discount of 10% Store D: price $89. 99 and successive discounts of 5% and 5% a. A, B, C. D b. A, B, D, C c. D, A, B, C d. D, C, B, A Please select the best answer from the choices provided A B C D.

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dubeyshailja64 dubeyshailja64 · Answer 1 · 2022-02-10T02:35:18-05:00

The ranking of stores from the cheapest to the most expensive sale price of the camera will be D, C, B, A. The sale price of the camera will be calculated after deducting the discount from the price.

What is a discount?

Discount can be defined as a reduction in the price of a good normally given to attract customers and increase sales. Discounts are generally calculated as a percentage of the price of the product.

The sale price of the camera in each store after discount can be calculated as follows:

[tex]\rm Sale\: price = Original\:price - Discount[/tex]

Store A:

[tex]\begin{aligned} \rm Sale\: price &= Original\:price - Discount\\\\&= \$99.99 - 15\% \:of\: \$99.99\\\\&= \$99.99 - (\$99.99 \times \dfrac{15}{100})\\\\&= \$99.99 - \$14.9985\\\\&= \$84.9915 \end[/tex]

Store B:

[tex]\begin{aligned} \rm Sale\: price &= Original\:price - Discount\\\\&= \$95.99 - 12\% \:of\: \$95.99\\\\&= \$95.99 - (\$95.99 \times \dfrac{12}{100})\\\\&= \$95.99 - \$11.5188\\\\&= \$84.4712 \end[/tex]

Store C:

[tex]\begin{aligned} \rm Sale\: price &= Original\:price - Discount\\\\&= \$90.99 - 10\% \:of\: \$90.99\\\\&= \$90.99 - (\$90.99 \times \dfrac{10}{100})\\\\&= \$90.99 - \$9.099\\\\&= \$81.891 \end[/tex]

Store D:

Since store D is giving successive discounts of 5% over the discount of 5%, the price will be:

[tex]\begin{aligned} \rm Sale \:price &= \$89.99 - 5\% \:of\:\$89.99 - 5\%\: of (\$89.99 - 5\% \:of\:\$89.99)\\\\&= \$89.00 - (\$89.99 \times \dfrac{5}{100}) - [(\$89.00 - (\$89.99 \times \dfrac{5}{100}))\dfrac{5}{100}]\\\\&= \$89.00 - \$4.4995 - [(\$89.00 - \$4.4995)\dfrac{5}{100}]\\\\&= \$85.4905 - \$4.274525\\\\&= \$81.22\end[/tex]

Therefore the ranking will be D, C, B, and A

Hence the correct option is D.

Learn more about discounts here:

https://brainly.com/question/1289629

Sagot :

What is a discount?

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