6. normally chiu charges $75.00 to paint a room. however, if he paints 3 or more rooms for you, he gives you…
6. normally chiu charges $75.00 to paint a room. however, if he paints 3 or more rooms for you, he gives you a 15% discount. how much will he charge if he paints 4 rooms for you?\n\nbuild your skills\n\n7. what is the percentage markdown if a $175.00 item sells for $150.00?\n\n8. in a store opening promotion, fred advertises t - shirts: “buy 4 get 1 free.” if the cost of 1 t - shirt is $15.97, what is the discount rate, as a percent?\n\n10. shelly works as an optician in whitehorse, yt. her store is selling last years glasses frames at a savings of 30%. what will you pay for frames that were originally priced at $149.00 if 5% gst is charged?\ngst and pst are paid on the selling price, not the original price.\n\n11. nicole wants to buy a coat originally priced at $249.95. it is on sale at 25% off. how much will she pay if 5% gst and 5% pst are charged?
Answer
6.
Explanation:
Step1: Calculate the original cost for 4 rooms
The original cost of painting one - room is $75. For 4 rooms, the original cost $C_{original}=75\times4 = 300$.
Step2: Calculate the discount amount
The discount rate is 15%. The discount amount $D = 0.15\times C_{original}=0.15\times300 = 45$.
Step3: Calculate the final cost
The final cost $C_{final}=C_{original}-D=300 - 45=255$.
Answer:
$255$
7.
Explanation:
Step1: Calculate the markdown amount
The original price of the item is $P_{original}=175$ and the selling price is $P_{selling}=150$. The markdown amount $M=P_{original}-P_{selling}=175 - 150 = 25$.
Step2: Calculate the percentage markdown
The percentage markdown $PM=\frac{M}{P_{original}}\times100=\frac{25}{175}\times100=\frac{100}{7}\approx14.29%$.
Answer:
Approximately $14.29%$
8.
Explanation:
Step1: Calculate the cost of 5 T - shirts without discount
The cost of 1 T - shirt is $15.97$. The cost of 5 T - shirts without discount $C_{without\ discount}=15.97\times5 = 79.85$.
Step2: Calculate the cost of 5 T - shirts with the promotion
With the "Buy 4 get 1 free" promotion, you only pay for 4 T - shirts. The cost of 4 T - shirts $C_{with\ promotion}=15.97\times4 = 63.88$.
Step3: Calculate the discount amount
The discount amount $D = C_{without\ discount}-C_{with\ promotion}=79.85 - 63.88 = 15.97$.
Step4: Calculate the discount rate
The discount rate $DR=\frac{D}{C_{without\ discount}}\times100=\frac{15.97}{79.85}\times100 = 20%$.
Answer:
$20%$
10.
Explanation:
Step1: Calculate the selling price before tax
The original price of the glasses frames is $P_{original}=149$. The savings is 30%, so the selling price before tax $P_{before\ tax}=(1 - 0.30)\times149=0.70\times149 = 104.3$.
Step2: Calculate the amount of GST
The GST rate is 5%. The amount of GST $G = 0.05\times P_{before\ tax}=0.05\times104.3 = 5.215$.
Step3: Calculate the final price
The final price $P_{final}=P_{before\ tax}+G=104.3+5.215 = 109.515\approx109.52$.
Answer:
$109.52$
11.
Explanation:
Step1: Calculate the selling price before tax
The original price of the coat is $P_{original}=249.95$. The discount rate is 25%, so the selling price before tax $P_{before\ tax}=(1 - 0.25)\times249.95=0.75\times249.95 = 187.4625$.
Step2: Calculate the combined tax rate
The GST rate is 5% and the PST rate is 5%, so the combined tax rate $T = 0.05+0.05=0.10$.
Step3: Calculate the amount of tax
The amount of tax $A = 0.10\times P_{before\ tax}=0.10\times187.4625 = 18.74625$.
Step4: Calculate the final price
The final price $P_{final}=P_{before\ tax}+A=187.4625+18.74625 = 206.20875\approx206.21$.
Answer:
$206.21$