5. a furniture store offers a \closing out sale: everything 80% off.\ a) how much will you pay for a bedroom…

5. a furniture store offers a \closing out sale: everything 80% off.\ a) how much will you pay for a bedroom suite that originally cost $2989.97 if gst is 5% and pst is 7%? 2989.97×(1 - 0.8)=597.994 b) what are your total savings on this purchase? 0.05 + 0.07 = 0.12 / 597.994×(1 + 0.12)=679.75 2989.97×(1 + 0.12)=3348.97 - 679.75 = 2669.02 6. robert sells bicycles, skateboards, and snowboards at his sporting goods store. a bicycle that was originally priced at $785.00 sold for $553.00. what percent markdown did robert offer? 785 - 553 = 232 232 / 785×100% = 29.55 7. the wholesale cost of a tawa, a griddle used to cook indian flatbread, is $53.00. a merchant marks it up 65%. at the end of the season, he sells the remaining stock at 60% off. a) what was his original asking price? 53×(1 + 0.65)=87.45 b) at the original price, how much would a customer pay with 5% gst and 5% pst? 0.05 + 0.05 = 0.1 87.45×(1 + 0.1)=96.2

5. a furniture store offers a \closing out sale: everything 80% off.\ a) how much will you pay for a bedroom suite that originally cost $2989.97 if gst is 5% and pst is 7%? 2989.97×(1 - 0.8)=597.994 b) what are your total savings on this purchase? 0.05 + 0.07 = 0.12 / 597.994×(1 + 0.12)=679.75 2989.97×(1 + 0.12)=3348.97 - 679.75 = 2669.02 6. robert sells bicycles, skateboards, and snowboards at his sporting goods store. a bicycle that was originally priced at $785.00 sold for $553.00. what percent markdown did robert offer? 785 - 553 = 232 232 / 785×100% = 29.55 7. the wholesale cost of a tawa, a griddle used to cook indian flatbread, is $53.00. a merchant marks it up 65%. at the end of the season, he sells the remaining stock at 60% off. a) what was his original asking price? 53×(1 + 0.65)=87.45 b) at the original price, how much would a customer pay with 5% gst and 5% pst? 0.05 + 0.05 = 0.1 87.45×(1 + 0.1)=96.2

Answer

Explanation:

Step1: Calculate price after discount for bedroom suite in question 5a

First, find the price of the bedroom suite after the 80% - off sale. The formula is $P_1 = P_0\times(1 - d)$, where $P_0=$2989.97$ is the original price and $d = 0.8$ is the discount rate. So $P_1=2989.97\times(1 - 0.8)=2989.97\times0.2 = 597.994$.

Step2: Calculate total tax rate for bedroom suite in question 5a

The GST is 5% and PST is 7%, so the total tax rate $t=0.05 + 0.07=0.12$.

Step3: Calculate final price for bedroom suite in question 5a

The final price $P_f=P_1\times(1 + t)=597.994\times(1 + 0.12)=597.994\times1.12=$679.75328\approx$679.75$.

Step4: Calculate total savings for bedroom suite in question 5b

The original price with tax is $P_{0t}=2989.97\times(1 + 0.12)=3348.7664$. The final - paid price is $P_f = 679.75328$. The savings $S=P_{0t}-P_f=3348.7664 - 679.75328=$2669.01312\approx$2669.01$.

Step5: Calculate percent markdown for bicycle in question 6

The amount of markdown is $A = 785 - 553=$232$. The percent markdown formula is $\text{Percent Markdown}=\frac{A}{P_0}\times100%$, where $P_0 = 785$. So $\text{Percent Markdown}=\frac{232}{785}\times100%\approx29.55%$.

Step6: Calculate original asking price for tawa in question 7a

The wholesale cost of the tawa is $C = 53$, and the markup rate is 65%. The original asking price $P_{o}=C\times(1 + m)$, where $m = 0.65$. So $P_{o}=53\times(1 + 0.65)=53\times1.65=$87.45$.

Step7: Calculate final price with tax for tawa in question 7b

The total tax rate $t = 0.05+0.05 = 0.1$. The final price $P=P_{o}\times(1 + t)=87.45\times(1 + 0.1)=87.45\times1.1=$96.195\approx$96.20$.

Answer:

5a. $$679.75$ 5b. $$2669.01$ 6. $29.55%$ 7a. $$87.45$ 7b. $$96.20$