Sean is selling 600 colouring books. 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 $2496. Find the cost price of a colouring book.
| Price |
$10 |
$7 |
Cost Price |
| Percent |
60% |
40% |
| |
|
12% |
28% |
| Number |
360 |
72 |
Not needed |
| Amount collected |
$3600 |
$504 |
Not needed |
Number of colouring books sold at $10
= 60% x 600
=
60100 x 600
= 360
Price after 30% discount
= 70% x 10
=
70100 x 10
= $7
Remaining colouring books
= 600 - 360
= 240
Number of colouring books sold at $7
= 30% x 240
=
30100 x 240
= 72
Number of colouring books sold at $10 or 30% discount
= 360 + 72
= 432
Total amount collected from the sale of 360 colouring books
= 360 x 10
= $3600
Total amount collected from the sale of the other 72 colouring books
= 72 x 7
= $504
Total amount collected from the sale of colouring books sold at $10 or 30% discount
= 3600 + 504
= $4104
Cost price of 432 colouring books
= 4104 - 2496
= $1296
Cost price of 1 colouring book
= 1296 ÷ 432
= $3
Answer(s): $3
