Question
Download Solution PDFA shopkeeper sells two items, A and B, Item B's cost price is twice as that of item A. The shopkeeper sells item A at 10% profit and item B at 20% profit. Which one of the following is the value of net profit?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFThe Correct answer is Option 4.
Key Points
⇒ Let the cost price of item A be CPA = x.
⇒ Then, the cost price of item B will be: CPB = 2x
Selling price of item A:
⇒ The shopkeeper sells item A at a 10% profit: SPA = CPA + 10% of CPA = x + 0.1x = 1.1x
Selling price of item B:
⇒ The shopkeeper sells item B at a 20% profit: SPB = CPB + 20% of CPB = 2x + 0.2(2x) = 2x + 0.4x = 2.4x
⇒ Total CP = CPA + CPB = x + 2x = 3x
⇒ Total SP = SPA + SPB = 1.1x + 2.4x = 3.5x
⇒ Net Profit = Total SP - Total CP = 3.5x - 3x = 0.5x
⇒ Net Profit Percentage = (Net Profit / Total CP) × 100 = (0.5x / 3x) × 100 = (0.5 / 3) × 100 = (50 / 3) ≈ 16.67%
Thus, the value of the net profit percentage is:4) 16.66%
Last updated on Jun 26, 2025
->The UPSC CAPF AC Marks is out on the official website.
-> The Union Public Service Commission (UPSC) has released the notification for the CAPF Assistant Commandants Examination 2025. This examination aims to recruit Assistant Commandants (Group A) in various forces, including the BSF, CRPF, CISF, ITBP, and SSB.
->The UPSC CAPF AC Notification 2025 has been released for 357 vacancies.
-> The selection process comprises of a Written Exam, Physical Test, and Interview/Personality Test.
-> Candidates must attempt the UPSC CAPF AC Mock Tests and UPSC CAPF AC Previous Year Papers for better preparation.