Reyan 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?

Given:

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.