Math Problem Statement

A tea set was bought for ₹528 after getting a discount of 12% on its marked price. Find the marked price of the tea set.

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 = MM
  • 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 100%12%=88%100\% - 12\% = 88\%).

This means: 528=88% of M528 = 88\% \text{ of } M Which translates to: 528=0.88×M528 = 0.88 \times M

Step 2: Solve for MM (the marked price).

M=5280.88M = \frac{528}{0.88} M=600M = 600

So, the marked price of the tea set is ₹600.

Would you like more details or have any further questions?

Related Questions:

  1. What is the amount of discount given on the tea set?
  2. How do you calculate the discount percentage if the marked price and sale price are known?
  3. If the discount was 15% instead of 12%, what would the new sale price be?
  4. What would the final price be if there was an additional tax of 5% on the discounted price?
  5. 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