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

four different stores have the same watch 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 watch. store a: price $129.99 and discount of 25% store b: price $119.99 and discount of 15% store c: price $115.99 and successive discounts of 5% and 5% store d: price $109.99 and discount of 10% a. a, b, c, d b. a, b, d, c c. a, c, d, b d. a, d, b, c please select the best answer from the choices provided

four different stores have the same watch 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 watch. store a: price $129.99 and discount of 25% store b: price $119.99 and discount of 15% store c: price $115.99 and successive discounts of 5% and 5% store d: price $109.99 and discount of 10% a. a, b, c, d b. a, b, d, c c. a, c, d, b d. a, d, b, c 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=$129.99$ and $d = 0.25$. So $P_A=129.99\times(1 - 0.25)=129.99\times0.75=$97.4925$.

Step2: Calculate sale - price of Store B

For Store B, $P_0 = 119.99$ and $d=0.15$. Then $P_B=119.99\times(1 - 0.15)=119.99\times0.85=$101.9915$.

Step3: Calculate sale - price of Store C

For successive discounts, if the first discount rate is $d_1$ and the second is $d_2$, the sale - price formula is $P = P_0(1 - d_1)(1 - d_2)$. Here, $P_0 = 115.99$, $d_1=0.05$ and $d_2 = 0.05$. So $P_C=115.99\times(1 - 0.05)\times(1 - 0.05)=115.99\times0.95\times0.95=115.99\times0.9025=$104.681975$.

Step4: Calculate sale - price of Store D

For Store D, $P_0 = 109.99$ and $d = 0.1$. Then $P_D=109.99\times(1 - 0.1)=109.99\times0.9=$98.991$.

Step5: Rank the stores

Comparing the sale - prices: $P_A=$97.4925$, $P_D=$98.991$, $P_B=$101.9915$, $P_C=$104.681975$. The order from cheapest to most expensive is A, D, B, C.

Answer:

D. A, D, B, C