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A shopkeeper bought 500 notebooks. He sold 300 of them for the price he paid for all 500 notebooks. He sold 140 notebooks at
20% higher rate than that at which he sold 300 notebooks and the remaining at the cost price. What is the profit percentage in
the whole transaction?
60%
56%
68%
64%
Let’s break down the problem and check each statement:
- Let cost price of 500 notebooks = Rs. 500 (assume cost per notebook = Rs. 1).
- Sold 300 notebooks for Rs. 500 ? Selling price per notebook = Rs. 500/300 = Rs. 5/3.
- Sold next 140 notebooks at 20% higher rate: Rs. (5/3) × 1.2 = Rs. 2 per notebook.
- Sold remaining 60 notebooks (500 - 300 - 140 = 60) at cost price, Rs. 1 each.
Now, let's calculate the totals:
- Selling price for 300 = 300 × Rs. 5/3 = Rs. 500
- Selling price for 140 = 140 × Rs. 2 = Rs. 280
- Selling price for 60 = 60 × Rs. 1 = Rs. 60
- Total selling price = 500 + 280 + 60 = Rs. 840
Total cost price = Rs. 500
Profit = Rs. 840 – Rs. 500 = Rs. 340
Profit percentage = (340/500) × 100% = 68%
Option 3: 68% is correct.
Option details:
- Option 1: 60% (not correct as calculated)
- Option 2: 56% (not correct, calculation mismatch)
- Option 3: 68% (? correct, matches calculation)
- Option 4: 64% (not correct, calculation mismatch)
By: santosh ProfileResourcesReport error
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