Certainly! Let's go through the steps to solve this problem.
Given:
- A shopkeeper purchased 5 dozens of pens.
- The cost price (CP) per pen is ₹ 25.
- The selling price (SP) per pen is ₹ 24.
(i) Finding his loss
1. First, we need to calculate the total cost price for the pens.
- Since 1 dozen = 12 pieces,
- The shopkeeper bought 5 dozens = [tex]\( 5 \times 12 = 60 \)[/tex] pieces of pens.
- Total cost price = Number of pens Cost price per pen
- Total cost price = [tex]\( 60 \)[/tex] pens ₹ 25 per pen = ₹ 1500
2. Next, we calculate the total selling price for the pens.
- Total selling price = Number of pens Selling price per pen
- Total selling price = [tex]\( 60 \)[/tex] pens ₹ 24 per pen = ₹ 1440
3. Now, we can calculate the loss.
- Loss = Total cost price - Total selling price
- Loss = ₹ 1500 - ₹ 1440 = ₹ 60
So, the shopkeeper's loss is ₹ 60.
(ii) Finding his loss percent
1. To find the loss percent, we use the formula:
- Loss Percent = (Loss / Total cost price) 100
2. Plugging in the values we have:
- Loss Percent = (₹ 60 / ₹ 1500) 100
3. Calculating this:
- Loss Percent = (60 / 1500) * 100 = 4%
So, the shopkeeper's loss percent is 4%.
In summary:
(i) The shopkeeper's loss is ₹ 60.
(ii) The shopkeeper's loss percent is 4%.
