The difference between the cost price and the selling price of an article is ₹240. If the profit is 20%, what is the selling price?

Difficulty: Easy

Correct Answer: ₹1440

Explanation:


Introduction / Context:
The difference SP − CP is profit in rupees. With a known profit percentage, we can back-solve for CP and then compute SP straightforwardly.


Given Data / Assumptions:

  • Profit = SP − CP = ₹240.
  • Profit% on CP = 20%.


Concept / Approach:
If profit% is 20%, then profit = 0.20 * CP = 240, so CP = 240 / 0.20 = 1,200. Then SP = CP + profit = 1,200 + 240, or use SP = 1.20 * CP directly.


Step-by-Step Solution:
CP = 240 / 0.20 = ₹1,200SP = 1.20 * 1,200 = ₹1,440


Verification / Alternative check:
SP − CP = 1,440 − 1,200 = ₹240, consistent with the given difference.


Why Other Options Are Wrong:
₹1,400/₹1,240/₹1,200 do not maintain the 20% profit and ₹240 difference simultaneously.


Common Pitfalls:
Applying 20% on SP or on the rupee difference instead of on CP.


Final Answer:
₹1440

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