Answer:
$ 3.43
Step-by-step explanation:
Given,
Total cookies = 100,
Cost price of each cookie = $ 2,
So, the total cost price = $ 200,
After marking up the price by 60%,
Total selling price = (100+60)% of 200
= 160% of 200
= $ 320
Out of 100 cookies 10% are cracked or discarded,
Thus, the cracked cookies = 10% of 100
=
= 10,
Then, the simple cookies = 100 - 10 = 90,
The price of each cracked cookie = $ 1.10
So, the selling price of cracked cookies = 1.10 × 10 = $ 11,
Now, let the price of each simple cookie = x dollars
So, the selling price of simple cookies = x × 90 = 90x dollars,
Thus, the total selling price = 90x + 11
⇒ 90x + 11 = 320
90x = 320 - 11
90x = 309
⇒ x = 3.43
Hence, the price of each cookie should be $ 3.43.