Fred is selling 700 textbooks. He sold 60% of them at $12 each, 60% of the remainder at a discount of 25% and the rest at cost price. He made a profit of $2484. Find the cost price of a textbook.
Price |
$12 |
$9 |
Cost Price |
Percent |
60% |
40% |
|
|
24% |
16% |
Number |
420 |
168 |
Not needed |
Amount collected |
$5040 |
$1512 |
Not needed |
Number of textbooks sold at $12
= 60% x 700
=
60100 x 700
= 420
Price after 25% discount
= 75% x 12
=
75100 x 12
= $9
Remaining textbooks
= 700 - 420
= 280
Number of textbooks sold at $9
= 60% x 280
=
60100 x 280
= 168
Number of textbooks sold at $12 or 25% discount
= 420 + 168
= 588
Total amount collected from the sale of 420 textbooks
= 420 x 12
= $5040
Total amount collected from the sale of the other 168 textbooks
= 168 x 9
= $1512
Total amount collected from the sale of textbooks sold at $12 or 25% discount
= 5040 + 1512
= $6552
Cost price of 588 textbooks
= 6552 - 2484
= $3528
Cost price of 1 textbook
= 3528 ÷ 588
= $6
Answer(s): $6