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A store sells ladders. • The retail price was a 40 percent markup over the manufacturer price. • A month later, the store reduced the retail price of the ladder by 25 percent. What percent markup is the new retail price over the manufacturer price?

Respuesta :

For this item, we represent the very original value or price of the given item by x such that increasing the retail price by 40 percent will give us 1.4x. Also, when the retail price of the item is reduced by 25 percent, we have.
                          new retail price = 1.4x (1 - 0.25) = 1.05x. 
This means that the new retail price is only 5% over the manufacturer price. 

5 percent markup is the new retail price over the manufacturer price.

Let us take the manufacturer price = 100x

What is the percentage?

The percentage is the value per hundred.

Retail price will be 40% marked-up i.e. = 100x+40% of 100x = 140x

Reduced retail price of the ladder after one month = 140x-140x*25/100

Reduced retail price of the ladder after one month = 105x

Percentage markup of the reduced retail price over the manufacturer price will be:

{(reduced retail price - manufacturer price)/manufacturer price} *100

=[ (105x-100x)/100x ] *100 = 5%

Therefore, 5 percent markup is the new retail price over the manufacturer price.

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