Harry is selling 800 colouring books. He sold 60% 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 $2244. Find the cost price of a colouring book.
Price |
$12 |
$9 |
Cost Price |
Percent |
60% |
40% |
|
|
8% |
32% |
Number |
480 |
64 |
Not needed |
Amount collected |
$5760 |
$576 |
Not needed |
Number of colouring books sold at $12
= 60% x 800
=
60100 x 800
= 480
Price after 25% discount
= 75% x 12
=
75100 x 12
= $9
Remaining colouring books
= 800 - 480
= 320
Number of colouring books sold at $9
= 20% x 320
=
20100 x 320
= 64
Number of colouring books sold at $12 or 25% discount
= 480 + 64
= 544
Total amount collected from the sale of 480 colouring books
= 480 x 12
= $5760
Total amount collected from the sale of the other 64 colouring books
= 64 x 9
= $576
Total amount collected from the sale of colouring books sold at $12 or 25% discount
= 5760 + 576
= $6336
Cost price of 544 colouring books
= 6336 - 2244
= $6528
Cost price of 1 colouring book
= 6528 ÷ 544
= $12
Answer(s): $12