A vendor bought 8 pens for Rs. 32 and sold them at 4 for Rs. 15. Find his loss or gain percent.
Question
A vendor bought 8 pens for Rs. 32 and sold them at 4 for Rs. 15. Find his loss or gain percent.
Solution
Sure, let's solve this step by step.
Step 1: Find the Cost Price (CP) per pen The vendor bought 8 pens for Rs. 32. So, the cost price per pen is Rs. 32/8 = Rs. 4.
Step 2: Find the Selling Price (SP) per pen The vendor sold the pens at 4 for Rs. 15. So, the selling price per pen is Rs. 15/4 = Rs. 3.75.
Step 3: Determine if there is a loss or gain Since the cost price (Rs. 4) is more than the selling price (Rs. 3.75), the vendor incurred a loss.
Step 4: Calculate the loss The loss is the difference between the cost price and the selling price, which is Rs. 4 - Rs. 3.75 = Rs. 0.25.
Step 5: Calculate the loss percentage The loss percentage is calculated as (Loss / Cost Price) * 100. So, the loss percentage is (0.25 / 4) * 100 = 6.25%.
So, the vendor incurred a loss of 6.25%.
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