Dylan is selling 600 non-fiction books. He sold 60% of them at $12 each, 20% of the remainder at a discount of 25% and the rest at cost price. He made a profit of $2358. Find the cost price of a non-fiction book.
| Price |
$12 |
$9 |
Cost Price |
| Percent |
60% |
40% |
| |
|
8% |
32% |
| Number |
360 |
48 |
Not needed |
| Amount collected |
$4320 |
$432 |
Not needed |
Number of non-fiction books sold at $12
= 60% x 600
=
60100 x 600
= 360
Price after 25% discount
= 75% x 12
=
75100 x 12
= $9
Remaining non-fiction books
= 600 - 360
= 240
Number of non-fiction books sold at $9
= 20% x 240
=
20100 x 240
= 48
Number of non-fiction books sold at $12 or 25% discount
= 360 + 48
= 408
Total amount collected from the sale of 360 non-fiction books
= 360 x 12
= $4320
Total amount collected from the sale of the other 48 non-fiction books
= 48 x 9
= $432
Total amount collected from the sale of non-fiction books sold at $12 or 25% discount
= 4320 + 432
= $4752
Cost price of 408 non-fiction books
= 4752 - 2358
= $2040
Cost price of 1 non-fiction book
= 2040 ÷ 408
= $5
Answer(s): $5
