Brandon is selling 700 magazines. He sold 50% of them at $12 each, 40% of the remainder at a discount of 25% and the rest at cost price. He made a profit of $2328. Find the cost price of a magazine.
Price |
$12 |
$9 |
Cost Price |
Percent |
50% |
50% |
|
|
20% |
30% |
Number |
350 |
140 |
Not needed |
Amount collected |
$4200 |
$1260 |
Not needed |
Number of magazines sold at $12
= 50% x 700
=
50100 x 700
= 350
Price after 25% discount
= 75% x 12
=
75100 x 12
= $9
Remaining magazines
= 700 - 350
= 350
Number of magazines sold at $9
= 40% x 350
=
40100 x 350
= 140
Number of magazines sold at $12 or 25% discount
= 350 + 140
= 490
Total amount collected from the sale of 350 magazines
= 350 x 12
= $4200
Total amount collected from the sale of the other 140 magazines
= 140 x 9
= $1260
Total amount collected from the sale of magazines sold at $12 or 25% discount
= 4200 + 1260
= $5460
Cost price of 490 magazines
= 5460 - 2328
= $2940
Cost price of 1 magazine
= 2940 ÷ 490
= $6
Answer(s): $6