four different stores have the same digital camera on sale. the original price and discounts offered by each…

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

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

Answer

Explanation:

Step1: Calculate sale - price of Store A

The sale - price formula is $P = P_0(1 - d)$, where $P_0$ is the original price and $d$ is the discount rate. For Store A, $P_0=$99.99$ and $d = 0.15$. So $P_A=99.99\times(1 - 0.15)=99.99\times0.85=$84.9915$.

Step2: Calculate sale - price of Store B

For Store B, $P_0 = 95.99$ and $d = 0.12$. So $P_B=95.99\times(1 - 0.12)=95.99\times0.88=$84.4712$.

Step3: Calculate sale - price of Store C

For Store C, $P_0 = 90.99$ and $d = 0.1$. So $P_C=90.99\times(1 - 0.1)=90.99\times0.9=$81.891$.

Step4: Calculate sale - price of Store D

For successive discounts, the final price formula is $P = P_0(1 - d_1)(1 - d_2)$. Here, $P_0 = 89.99$, $d_1=0.05$ and $d_2 = 0.05$. So $P_D=89.99\times(1 - 0.05)\times(1 - 0.05)=89.99\times0.95\times0.95=89.99\times0.9025=$81.215975$.

Step5: Rank the stores

Comparing the sale - prices: $P_D\lt P_C\lt P_B\lt P_A$.

Answer:

D. D, C, B, A