Question
A shopkeeper purchased 60 dozens of articles at the rate of ₹474 per dozen. He sold each one of them at the rate of ₹79. What percentage profit did he make?
The correct answer is
100%
Understanding the Problem
The question asks for the percentage profit made by a shopkeeper. We are given the total quantity purchased in dozens, the cost price per dozen, and the selling price per individual article.
Calculating Total Cost Price (CP)
- Cost price per dozen = ₹474
- Number of dozens purchased = 60
- Total Cost Price (CP) = Cost per dozen × Number of dozens
- Total CP = $474 \times 60$
- Total CP = ₹28,440
Calculating Total Selling Price (SP)
- Selling price per article = ₹79
- Number of articles per dozen = 12
- Total number of articles = Number of dozens × Articles per dozen
- Total number of articles = $60 \times 12 = 720$ articles
- Total Selling Price (SP) = Selling price per article × Total number of articles
- Total SP = $79 \times 720$
- Total SP = ₹56,880
Calculating Profit
- Profit = Total Selling Price (SP) - Total Cost Price (CP)
- Profit = $56,880 - 28,440$
- Profit = ₹28,440
Calculating Percentage Profit
- Percentage Profit = $ (\frac{\text{Profit}}{\text{Total CP}}) \times 100\% $
- Percentage Profit = $ (\frac{28,440}{28,440}) \times 100\% $
- Percentage Profit = $1 \times 100\% $
- Percentage Profit = 100%
The shopkeeper made a 100% profit.
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Important Questions from Percentage (Notes)
In an election between two candidates, a candidate who got $30\%$ of the total votes is defeated by $15000$ votes. The number of votes obtained by the winning candidate is:-
- Which of the following multipliers will increase a given number by 25.3 % ?
If A earns \(33\frac{1}{3}%\) more than B, then how much percent does B earn less than A?
- दो उम्मीदवारों के बीच एक कॉलेज चुनाव में, एक उम्मीदवार को कुल वैध मतों में से $55\%$ वोट मिले । $15\%$ वोट अवैध थे । यदि कुल वोट $15,200$ थे, तो दूसरे उम्मीदवार को कितने वैध वोट मिले ?
- एक शहर की जनसंख्या एक दशक में $1,75,000$ से बढ़कर $2,62,500$ हो गई । प्रति वर्ष जनसंख्या में औसत प्रतिशत वृद्धि है
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