a\ shop\ offer\ a\ discount\ of\ 12\%,\ a\ girl\ bought\ a\ frock\ st\ price\ rs.2464.\ what\ is\ the\ marked

To find the marked price of the frock before the discount was applied, let's denote the marked price as \( M \). The shop offers a discount of 12%, so the girl paid 88% of the marked price for the frock.

The relationship between the marked price and the selling price can be expressed as:

\[
\text{Selling Price} = M \times \left(1 - \frac{12}{100}\right)
\]

\[
2464 = M \times 0.88
\]

Now, solve for \( M \):

\[
M = \frac{2464}{0.88}
\]

\[
M = 2800
\]

So, the marked price of the frock was **₹2800**.

Would you like more details or have any questions?

Here are five related questions you might find interesting:

1. If the discount was 20% instead of 12%, what would the selling price be?
2. How much money did the girl save due to the 12% discount?
3. If the shop had offered an additional 5% discount on the reduced price, what would the final selling price be?
4. What would the selling price be if the marked price was increased by 10% and the same 12% discount was applied?
5. How would the selling price change if the discount was applied in two stages, first 6% and then another 6%?

**Tip:** Always double-check your percentage calculations to avoid errors in determining discounts and final prices.

Learn how to calculate the marked price of an item when given the discount percentage and selling price. This problem involves determining the original price of a frock after a 12% discount. Suitable for high school students learning about percentages and arithmetic calculations.

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