Question
Download Solution PDFThe cost price of article A is ₹ 500 more than the cost price of article B. Article A is sold at a loss of 10% and B is sold at a profit of 20%. If there is a profit of ₹ 200 in the entire transaction, then the cost price of article A is:
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
Cost Price of Article A (CA) = Cost Price of Article B (CB) + ₹500
Article A is sold at a loss of 10%
Article B is sold at a profit of 20%
Total Profit = ₹200
Formula used:
Selling Price (S) = Cost Price (C) × (1 + Profit%/100) (if profit)
Selling Price (S) = Cost Price (C) × (1 - Loss%/100) (if loss)
Total Profit = Selling Price of A + Selling Price of B - (Cost Price of A + Cost Price of B)
Calculation:
Let Cost Price of Article B (CB) = ₹x
⇒ Cost Price of Article A (CA) = x + 500
Selling Price of Article A (SA) = (x + 500) × (1 - 10/100) = (x + 500) × 0.9
Selling Price of Article B (SB) = x × (1 + 20/100) = x × 1.2
Total Profit = ₹200
⇒ SA + SB - (CA + CB) = 200
⇒ [(x + 500) × 0.9] + (x × 1.2) - [(x + 500) + x] = 200
⇒ 0.9x + 450 + 1.2x - (x + 500) - x = 200
⇒ 0.9x + 1.2x - x - x + 450 - 500 = 200
⇒ 0.1x + 450 - 500 = 200
⇒ 0.1x - 50 = 200
⇒ 0.1x = 250
⇒ x = 2500
Cost Price of Article A (CA) = x + 500 = 2500 + 500 = ₹3000
∴ The correct answer is option (2).
Last updated on Jun 10, 2025
-> The CBSE Superintendent 2025 Skill Test Notice has been released which will be conducted on 5th July 2025.
-> The Tier-I Exam was conducted on 20th April 2025.
-> Eligible candidates had submitted their applications online between January 2nd and 31st, 2025.
-> The selection process includes written examination and document verification.
-> This position entails managing administrative and operational duties within the board, requiring excellent organizational skills to ensure the seamless execution of academic and administrative functions.