Lopez Luggage buys suitcases for $2,520 per dozen.

Find the selling price per suitcase if the retailer maintains a markup of 30% on the selling price.


$237

$300

$210

$258

Respuesta :

Answer:

$273

Step-by-step explanation:

We can deduce the following from the question.

The cost price(c.p) of suicase dozen =$2,520

Profit percent(p%)=30%

From here we can calculate the selling Price(s.p) from the relation:

By substitution we obtain,

[tex]p\% = \frac{s.p - c.p}{c.p} \times 100\%[/tex]

[tex]30\%= \frac{s.p - 2520}{2520} \times 100\%[/tex]

[tex] \implies 0.30= \frac{s.p - 2520}{2520} \times 1[/tex]

cross multiplying, we get:

[tex] \implies0.30 \times 2520=s.p - 2520[/tex]

[tex] \implies 756=s.p - 2520[/tex]

adding 2520 to both sides

[tex] \implies 756 + 2520=s.p - 2520 + 2520[/tex]

[tex] \implies s.p = 3275[/tex]

This implies that the selling price for the dozen of suitcase is $3275

To find the selling price of each suitcase we divide by 12

[tex] \implies \frac{3275}{12} [/tex]

=$273