Question
Download Solution PDFReyan purchased a laptop for ₹56,000 and a scanner-cum-printer for ₹22,000. He sold the laptop for a 20% profit and the scanner-cum-printer for a 15% profit. What is his profit percentage?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
Cost price of laptop = ₹56,000
Cost price of scanner-cum-printer = ₹22,000
Profit on laptop = 20%
Profit on scanner-cum-printer = 15%
Formula Used:
Total Cost Price (CP) = Cost price of laptop + Cost price of scanner-cum-printer
Total Selling Price (SP) = Selling price of laptop + Selling price of scanner-cum-printer
Profit Percentage = \(\frac{Total\ Profit}{Total\ CP} \times 100\)
Calculation:
Selling price of laptop = CP of laptop + Profit on laptop
⇒ Selling price of laptop = ₹56,000 + (20% of ₹56,000)
⇒ Selling price of laptop = ₹56,000 + (0.20 × ₹56,000)
⇒ Selling price of laptop = ₹56,000 + ₹11,200
⇒ Selling price of laptop = ₹67,200
Selling price of scanner-cum-printer = CP of scanner-cum-printer + Profit on scanner-cum-printer
⇒ Selling price of scanner-cum-printer = ₹22,000 + (15% of ₹22,000)
⇒ Selling price of scanner-cum-printer = ₹22,000 + (0.15 × ₹22,000)
⇒ Selling price of scanner-cum-printer = ₹22,000 + ₹3,300
⇒ Selling price of scanner-cum-printer = ₹25,300
Total CP = ₹56,000 + ₹22,000
⇒ Total CP = ₹78,000
Total SP = ₹67,200 + ₹25,300
⇒ Total SP = ₹92,500
Total Profit = Total SP - Total CP
⇒ Total Profit = ₹92,500 - ₹78,000
⇒ Total Profit = ₹14,500
Profit Percentage = \(\frac{Total\ Profit}{Total\ CP} \times 100\)
⇒ Profit Percentage = \(\frac{14,500}{78,000} \times 100\)
⇒ Profit Percentage = \(\frac{145}{780} \times 100\)
⇒ Profit Percentage = \(18 \frac{23}{39}\)%
The correct answer is option 2.
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