Find the marked price when S.P= Rs1600 and discount= 20%

To find the marked price (M.P) when the selling price (S.P) and discount percentage are given, we can use the following formula:

\[
\text{S.P} = \text{M.P} \times \left(1 - \frac{\text{Discount}}{100}\right)
\]

Given:
- S.P = Rs 1600
- Discount = 20%

Let's plug the values into the formula:

\[
1600 = \text{M.P} \times \left(1 - \frac{20}{100}\right)
\]

\[
1600 = \text{M.P} \times (1 - 0.2)
\]

\[
1600 = \text{M.P} \times 0.8
\]

Now, solve for M.P:

\[
\text{M.P} = \frac{1600}{0.8} = 2000
\]

So, the marked price is **Rs 2000**.

Would you like any further details or clarifications?

Here are five related questions to deepen your understanding:
1. What is the formula for calculating the discount amount if the marked price is known?
2. How would the selling price change if the discount were increased to 25%?
3. What is the relation between marked price, selling price, and profit percentage?
4. How can you calculate the percentage discount if only the selling price and marked price are known?
5. If the selling price was Rs 1600 after a discount of 15%, what would the marked price be?

**Tip:** Always express percentages as decimals (e.g., 20% = 0.2) when using them in equations.

Learn how to find the marked price when the selling price is Rs 1600 and a 20% discount is applied. This problem uses the formula S.P = M.P × (1 - Discount/100), which is useful for understanding percentages and discounts in algebra. Suitable for students in Grades 6-8.

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