Xavier is selling 1100 non-fiction books. He sold 60% of them at $8 each, 20% of the remainder at a discount of 25% and the rest at cost price. He made a profit of $2287. Find the cost price of a non-fiction book.
Price |
$8 |
$6 |
Cost Price |
Percent |
60% |
40% |
|
|
8% |
32% |
Number |
660 |
88 |
Not needed |
Amount collected |
$5280 |
$528 |
Not needed |
Number of non-fiction books sold at $8
= 60% x 1100
=
60100 x 1100
= 660
Price after 25% discount
= 75% x 8
=
75100 x 8
= $6
Remaining non-fiction books
= 1100 - 660
= 440
Number of non-fiction books sold at $6
= 20% x 440
=
20100 x 440
= 88
Number of non-fiction books sold at $8 or 25% discount
= 660 + 88
= 748
Total amount collected from the sale of 660 non-fiction books
= 660 x 8
= $5280
Total amount collected from the sale of the other 88 non-fiction books
= 88 x 6
= $528
Total amount collected from the sale of non-fiction books sold at $8 or 25% discount
= 5280 + 528
= $5808
Cost price of 748 non-fiction books
= 5808 - 2287
= $1496
Cost price of 1 non-fiction book
= 1496 ÷ 748
= $2
Answer(s): $2