Marked price and discount: On a 20% discount sale, an article costs ₹596. What was the original marked price?

Difficulty: Easy

Correct Answer: ₹ 745

Explanation:


Introduction / Context:
This is a reverse percentage calculation. After a 20% discount, the selling price (SP) is known; we must recover the marked price (MP) before discount. A direct proportion or dividing by the retention factor solves it cleanly.


Given Data / Assumptions:

  • Discount = 20% ⇒ retention factor = 0.80
  • SP after discount = ₹596


Concept / Approach:
SP = MP * 0.80. Therefore, MP = SP / 0.80. Compute and round only if needed (here it divides exactly to ₹745).


Step-by-Step Solution:
SP = 0.80 * MP = ₹596MP = ₹596 / 0.80 = ₹745


Verification / Alternative check:
20% of ₹745 = ₹149; subtracting gives ₹596, confirming the calculation.


Why Other Options Are Wrong:
Other values do not produce ₹596 after a 20% reduction; quick checks show mismatches in the final price.


Common Pitfalls:
Subtracting 20% of the final price instead of 20% of the marked price, or adding back 20% (which would overestimate).


Final Answer:
₹ 745

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