Albert is selling 1100 novels. He sold 75% 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 $2204. Find the cost price of a novel.
Price |
$12 |
$9 |
Cost Price |
Percent |
75% |
25% |
|
|
5% |
20% |
Number |
825 |
55 |
Not needed |
Amount collected |
$9900 |
$495 |
Not needed |
Number of novels sold at $12
= 75% x 1100
=
75100 x 1100
= 825
Price after 25% discount
= 75% x 12
=
75100 x 12
= $9
Remaining novels
= 1100 - 825
= 275
Number of novels sold at $9
= 20% x 275
=
20100 x 275
= 55
Number of novels sold at $12 or 25% discount
= 825 + 55
= 880
Total amount collected from the sale of 825 novels
= 825 x 12
= $9900
Total amount collected from the sale of the other 55 novels
= 55 x 9
= $495
Total amount collected from the sale of novels sold at $12 or 25% discount
= 9900 + 495
= $10395
Cost price of 880 novels
= 10395 - 2204
= $3520
Cost price of 1 novel
= 3520 ÷ 880
= $4
Answer(s): $4