Jenson is selling 1200 novels. He sold 60% of them at $8 each, 30% of the remainder at a discount of 25% and the rest at cost price. He made a profit of $2463. Find the cost price of a novel.
Price |
$8 |
$6 |
Cost Price |
Percent |
60% |
40% |
|
|
12% |
28% |
Number |
720 |
144 |
Not needed |
Amount collected |
$5760 |
$864 |
Not needed |
Number of novels sold at $8
= 60% x 1200
=
60100 x 1200
= 720
Price after 25% discount
= 75% x 8
=
75100 x 8
= $6
Remaining novels
= 1200 - 720
= 480
Number of novels sold at $6
= 30% x 480
=
30100 x 480
= 144
Number of novels sold at $8 or 25% discount
= 720 + 144
= 864
Total amount collected from the sale of 720 novels
= 720 x 8
= $5760
Total amount collected from the sale of the other 144 novels
= 144 x 6
= $864
Total amount collected from the sale of novels sold at $8 or 25% discount
= 5760 + 864
= $6624
Cost price of 864 novels
= 6624 - 2463
= $6048
Cost price of 1 novel
= 6048 ÷ 864
= $7
Answer(s): $7