Zeph is selling 1200 novels. He sold 60% of them at $10 each, 30% of the remainder at a discount of 30% and the rest at cost price. He made a profit of $2288. Find the cost price of a novel.
Price |
$10 |
$7 |
Cost Price |
Percent |
60% |
40% |
|
|
12% |
28% |
Number |
720 |
144 |
Not needed |
Amount collected |
$7200 |
$1008 |
Not needed |
Number of novels sold at $10
= 60% x 1200
=
60100 x 1200
= 720
Price after 30% discount
= 70% x 10
=
70100 x 10
= $7
Remaining novels
= 1200 - 720
= 480
Number of novels sold at $7
= 30% x 480
=
30100 x 480
= 144
Number of novels sold at $10 or 30% discount
= 720 + 144
= 864
Total amount collected from the sale of 720 novels
= 720 x 10
= $7200
Total amount collected from the sale of the other 144 novels
= 144 x 7
= $1008
Total amount collected from the sale of novels sold at $10 or 30% discount
= 7200 + 1008
= $8208
Cost price of 864 novels
= 8208 - 2288
= $9504
Cost price of 1 novel
= 9504 ÷ 864
= $11
Answer(s): $11