Math Problem Statement
Solution
The problem states that a tea set was bought for ₹528 after receiving a 12% discount on its marked price, and we need to find the original marked price.
Let's denote:
- The marked price of the tea set =
- The discount = 12%
- The price after the discount = ₹528
Step 1: Understand the relationship between marked price and selling price.
After a 12% discount, the customer pays 88% of the marked price (since ).
This means: Which translates to:
Step 2: Solve for (the marked price).
So, the marked price of the tea set is ₹600.
Would you like more details or have any further questions?
Related Questions:
- What is the amount of discount given on the tea set?
- How do you calculate the discount percentage if the marked price and sale price are known?
- If the discount was 15% instead of 12%, what would the new sale price be?
- What would the final price be if there was an additional tax of 5% on the discounted price?
- Can you find the percentage of the marked price that the buyer saved?
Tip:
When solving percentage problems, always start by determining what percentage of the original value you're dealing with after the change (e.g., a discount or markup).
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Math Problem Analysis
Mathematical Concepts
Percentage
Discount Calculation
Basic Algebra
Formulas
Selling price = Marked price - (Discount % × Marked price)
Selling price = (1 - Discount %) × Marked price
Marked price = Selling price / (1 - Discount %)
Theorems
Basic Percentage Theorem
Suitable Grade Level
Grades 6-8
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