Warren is selling 700 textbooks. He sold 50% of them at $10 each, 20% of the remainder at a discount of 20% and the rest at cost price. He made a profit of $2297. Find the cost price of a textbook.
Price |
$10 |
$8 |
Cost Price |
Percent |
50% |
50% |
|
|
10% |
40% |
Number |
350 |
70 |
Not needed |
Amount collected |
$3500 |
$560 |
Not needed |
Number of textbooks sold at $10
= 50% x 700
=
50100 x 700
= 350
Price after 20% discount
= 80% x 10
=
80100 x 10
= $8
Remaining textbooks
= 700 - 350
= 350
Number of textbooks sold at $8
= 20% x 350
=
20100 x 350
= 70
Number of textbooks sold at $10 or 20% discount
= 350 + 70
= 420
Total amount collected from the sale of 350 textbooks
= 350 x 10
= $3500
Total amount collected from the sale of the other 70 textbooks
= 70 x 8
= $560
Total amount collected from the sale of textbooks sold at $10 or 20% discount
= 3500 + 560
= $4060
Cost price of 420 textbooks
= 4060 - 2297
= $2520
Cost price of 1 textbook
= 2520 ÷ 420
= $6
Answer(s): $6