Question

2. A shop owner raises the price of a $100 pair of shoes by 50%. After a few weeks,
because of falling sales, the owner reduces the price of the shoes by 50%. A
customer then says that the shoes are back at the original price.
a. What is the mistaken assumption here?
b. Why is that assumption incorrect?
c. What do the shoes actually cost now?
d. By what percent should the shoes be decreased in order to have the price
back at $100?
Kk

Answer 1

Answer:

the customer is wrong

Step-by-step explanation:

when he raised then 50 % they became $150 and then If you do the work 50% of $150 is $75 .

100+%50

150

150-%50

75

Answer 2

The customer is wrong because the new price of the shoe is $75 and not $100.

When the shop owner raises the price of a $100 pair of shoes by 50%, then the new price will be:

= $100 + (50% × $100)

= $100 + $50

= $150

Then, the owner reduces the price by 50%, then the new price will be:

= $150 - (50% × $150)

= $150 - $75

= $75

Therefore, the new price is $75.

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