Difficulty: Easy
Correct Answer: 20
Explanation:
Introduction / Context:
This is a basic discount calculation based on a known marked price and a known absolute discount in rupees. Such questions form the foundation for more complex profit, loss and discount scenarios.
Given Data / Assumptions:
Concept / Approach:
Discount percentage is calculated by dividing the discount amount by the marked price and multiplying by 100, because the discount is given on the marked price.
Step-by-Step Solution:
Marked price MP = 960.Discount amount = 192.Discount percentage = (discount / MP) * 100.So discount percentage = (192 / 960) * 100.Compute 192 / 960 = 0.20.Therefore discount percentage = 0.20 * 100 = 20 percent.
Verification / Alternative check:
If the discount is 20 percent on 960, then discount amount = 0.20 * 960 = 192. So the selling price would be 960 - 192 = 768, and the numbers fit the given data, confirming 20 percent.
Why Other Options Are Wrong:
Values like 15 percent, 25 percent and 30 percent would correspond to discount amounts of 144, 240 and 288 respectively when applied to 960, none of which match the given discount of 192.
Common Pitfalls:
Errors usually arise from dividing by the selling price instead of the marked price or from miscalculating the fraction 192 / 960. Always check that the denominator in the discount formula is the marked price.
Final Answer:
The discount percentage on the article is 20 percent.
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