A shopkeeper bought 20 kg of sugar at Rs45 per Kg, 25 kg of sugar at Rs50 per kg and 35 kg of sugar at Rs40 per kg. He spent a
sum of Rs450 ontransportation and other expenses. He mixed all the three types of sugar andsold all the stock at Rs52.50 per kg.
His profit percentin the entire transaction is:
This questions was previously asked in
SSC CGL 17th August 2021 Shift-2
Explanation:
To determine the profit percentage, let's break down the problem:
- Cost of Sugar:
- 20 kg at Rs 45/kg = Rs 900
- 25 kg at Rs 50/kg = Rs 1250
- 35 kg at Rs 40/kg = Rs 1400
- Total Cost of Sugar: Rs 900 + Rs 1250 + Rs 1400 = Rs 3550
- Other Expenses: Rs 450
- Total Cost (including expenses): Rs 3550 + Rs 450 = Rs 4000
- Total Quantity of Sugar: 20 kg + 25 kg + 35 kg = 80 kg
- Selling Price: 80 kg at Rs 52.50 per kg = Rs 4200
- Profit: Selling Price - Total Cost = Rs 4200 - Rs 4000 = Rs 200
- Profit Percentage: \((\text{Profit} / \text{Total Cost}) \times 100 = (200 / 4000) \times 100 = 5\%\)
- Correct Answer: Option 1 - 5%
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