Japheth is selling 1200 colouring books. He sold 60% of them at $10 each, 60% of the remainder at a discount of 40% and the rest at cost price. He made a profit of $2309. Find the cost price of a colouring book.
| Price |
$10 |
$6 |
Cost Price |
| Percent |
60% |
40% |
| |
|
24% |
16% |
| Number |
720 |
288 |
Not needed |
| Amount collected |
$7200 |
$1728 |
Not needed |
Number of colouring books sold at $10
= 60% x 1200
=
60100 x 1200
= 720
Price after 40% discount
= 60% x 10
=
60100 x 10
= $6
Remaining colouring books
= 1200 - 720
= 480
Number of colouring books sold at $6
= 60% x 480
=
60100 x 480
= 288
Number of colouring books sold at $10 or 40% discount
= 720 + 288
= 1008
Total amount collected from the sale of 720 colouring books
= 720 x 10
= $7200
Total amount collected from the sale of the other 288 colouring books
= 288 x 6
= $1728
Total amount collected from the sale of colouring books sold at $10 or 40% discount
= 7200 + 1728
= $8928
Cost price of 1008 colouring books
= 8928 - 2309
= $12096
Cost price of 1 colouring book
= 12096 ÷ 1008
= $12
Answer(s): $12
