Certainly! Let's break down the problem step-by-step to determine the profit made by the shopkeeper.
1. Number of Pens Bought:
- The shopkeeper bought 5 dozen pens.
- Since 1 dozen is equal to 12 pens, the total number of pens bought is:
[tex]\[
5 \text{ dozen} \times 12 \text{ pens/dozen} = 60 \text{ pens}
\][/tex]
2. Cost per Pen:
- Each pen was bought at a cost of 85 cents. Converting this to Birr (since 1 Birr = 100 cents):
[tex]\[
85 \text{ cents} = 0.85 \text{ Birr}
\][/tex]
3. Total Cost:
- The total cost of the pens can be calculated by multiplying the number of pens by the cost per pen:
[tex]\[
60 \text{ pens} \times 0.85 \text{ Birr/pen} = 51 \text{ Birr}
\][/tex]
4. Damage Rate:
- 10% of the pens were damaged and had to be thrown away. Let's determine the number of damaged pens:
[tex]\[
0.10 \times 60 \text{ pens} = 6 \text{ pens}
\][/tex]
5. Undamaged Pens:
- The number of undamaged pens is the total number of pens minus the number of damaged pens:
[tex]\[
60 \text{ pens} - 6 \text{ pens} = 54 \text{ pens}
\][/tex]
6. Selling Price per Pen:
- Each undamaged pen was sold for 1 Birr.
7. Total Revenue:
- The total revenue generated from selling the undamaged pens can be calculated by multiplying the number of undamaged pens by the selling price per pen:
[tex]\[
54 \text{ pens} \times 1 \text{ Birr/pen} = 54 \text{ Birr}
\][/tex]
8. Profit:
- Finally, profit is the total revenue minus the total cost:
[tex]\[
\text{Profit} = 54 \text{ Birr} - 51 \text{ Birr} = 3 \text{ Birr}
\][/tex]
So, the shopkeeper made a profit of 3 Birr.
