Friendly's Clothing Store bought handkerchiefs, six for $10, and sold them 4 for $10. They made $60 profit. How many handkerchiefs did they sell?

unit purchase price = 10/6 = 1.6666..

unit selling price = 10/4 = 2.50
profit per unit = .833333
number sold = 60/.83333 = 72

To determine how many handkerchiefs Friendly's Clothing Store sold, we can break down the information given:

1. The store bought handkerchiefs, and the cost was six for $10. This implies that the store bought each handkerchief for $10/6 = $1.67 (rounded to two decimal places).

2. The store sold handkerchiefs, and the price was four for $10. This means that the store sold each handkerchief for $10/4 = $2.50.

3. The store made a $60 profit. Since the store's selling price per handkerchief was $2.50 and their cost per handkerchief was $1.67, they made a profit of $2.50 - $1.67 = $0.83 per handkerchief.

4. To find the number of handkerchiefs sold, we can divide the total profit by the profit per handkerchief: $60 / $0.83 = 72.29 (rounded to two decimal places).

Therefore, Friendly's Clothing Store sold approximately 72 handkerchiefs. Note that it is not possible to sell a fraction of a handkerchief, so this estimate assumes that the store sold a whole number of handkerchiefs.

To solve this problem, we need to find the number of handkerchiefs sold by Friendly's Clothing Store. Let's break down the information given:

Friendly's Clothing Store bought handkerchiefs, six for $10. This means they initially spent $10 to purchase 6 handkerchiefs.

Next, we're told that they sold the handkerchiefs at a rate of 4 for $10. This means they sold 4 handkerchiefs for $10.

We also know that they made a profit of $60.

So, let's find out the profit gained from selling each handkerchief:

Profit per handkerchief = (Amount sold for - Amount spent to buy them) / Number of handkerchiefs sold
Profit per handkerchief = ($10 - $10) / 6
Profit per handkerchief = $0 / 6
Profit per handkerchief = $0

From the above calculation, we see that there is no profit gained from selling each handkerchief since the cost price and selling price are the same.

Now, let's determine how many handkerchiefs were sold to make a profit of $60:

Number of handkerchiefs sold = Total profit / Profit per handkerchief
Number of handkerchiefs sold = $60 / $0
Number of handkerchiefs sold = undefined

Since dividing any number by zero results in an undefined value, we cannot determine the exact number of handkerchiefs sold based on the given information.

It's important to note that the given information may be incomplete or there could be some other missing details.