While buying a dress on sale, a person spends Rs 45 and saves Rs 5 due to the discount. What is the percentage of savings with respect to the original marked price?

Introduction / Context:

This problem is a straightforward application of percentage on a real-life discount situation. The shopper pays a reduced amount and is told how much money is saved. You are required to express this saving as a percentage of the original price, which is a common scenario in sales and marketing questions.

Given Data / Assumptions:

• Amount paid after discount = Rs 45.
• Amount saved due to discount = Rs 5.
• Original marked price is the sum of amount paid and amount saved.
• We need to find savings percentage relative to the original price.

Concept / Approach:

The original marked price is equal to the amount actually paid plus the amount saved, because without discount the buyer would have paid the full price. Once the original price is found, the saving percentage is calculated as (saving / original price) * 100. This is a direct percentage formula question.

Step-by-Step Solution:

Verification / Alternative check:

We can think of it this way: If the original price is Rs 50 and the shopper saves Rs 5, then the person is paying Rs 45, which is 90% of the original price. Therefore, the discount is 10% of the original price. This reasoning aligns with the calculated saving percentage.

Why Other Options Are Wrong:

• 5%: This would correspond to a saving of Rs 2.5 on Rs 50 or some similar small fraction, which does not match the actual saving of Rs 5.
• 12% or 15%: These percentages would require a different ratio between saving and original price. For example, 15% discount on Rs 50 would mean a saving of Rs 7.5, which is not correct here.
• 20%: A 20% saving on Rs 50 would be Rs 10, which is double the actual saving.

Common Pitfalls:

Some students mistakenly calculate the percentage of saving based on the amount paid (5 out of 45) instead of the original price, which leads to an incorrect answer. Others may try to guess the percentage without computing the original price. Always identify what the percentage is based on, and remember that discounts are normally calculated on the marked price.

Final Answer:

The percentage of savings with respect to the original price is 10%.