Verizon offers to sell cellular phones listing for $95.24 with a chain discount of 15/10/5. Cellular Company offers to sell its cellular phones that list at $98.49 with a chain discount of 25/5. If Irene is to buy ten phones, how much could she save if she buys from the lower-priced company?

Respuesta :

Answer:

$260.24

Step-by-step explanation:

To find how much Irene will save from buying from the lower-priced company, let's first compute for how much both companies are offering.

Verizon offers 15/10/5 chain discount.

The total discounted price that Verizon offers can be solved by getting complement of the percentages and convert them into their decimal equivalence and multiplying them.

15% = 85% or 0.85

10% = 90% or 0.90

5% = 95% or 0.95

Now we multiply them together.

Total Paying Price Rate = (0.85)(0.90)(0.95)

Total Paying Price Rate= 0.72675 or 72.68%

Now to get how much the discount really is we subtract the Total Paying Price by 100%.

Total Discount = 100% - 72.68%

Total Discount = 27.32%

Now since Irene is buying 10 phones we multiply the original price by 10.

Total Original Price = 95.24 x 10 = $952.4

Then we simply multiply the total original price by the Total paying price rate.

Overall = 952.4 x 0.72675

Overall = $692.16

So the overall price that Irene will pay in Verizon is $692.16

Now let's solve for the Cellular company.

Cellular Company offer 25/5 chain discount

25% = 75%

5% = 95%

Now we do the same as the Verizon one.

Total Paying Price Rate = (0.75)(0.95)

Total Paying Price Rate = 0.7125 or 71.25%

Then we solve for the discount.

Total Discount = 100% - 71.25%

Total Discount = 28.75%

Now for the price of 10 phones.

Total Original Price = 98.49 x 10 = $984.9

Overall = 984.9 x 0.7125

Overall = $701.41

So the overall price for the Cellular Company is $701.41

So the lowered price company is Verizon.

If Irene buys the phones from Verizon, she will save $260.24.