Find the marked price when S.p=rs 1600 and discount=rs 20%

To find the marked price (M.P.) when the selling price (S.P.) is ₹1600 and the discount is 20%, we use the formula:

\[
S.P. = M.P. - \text{Discount}
\]

Alternatively, since the discount is 20%, the selling price is 80% of the marked price. Thus:

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

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

Now plug in the values:

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

\[
1600 = M.P. \times \frac{80}{100}
\]

\[
1600 = M.P. \times 0.8
\]

Now solve for \( M.P. \):

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

Thus, the marked price is ₹2000.

Would you like more details or have any questions? 

Here are 5 related questions for practice:
1. What would the discount amount be if the marked price is ₹2500 with a 10% discount?
2. If a discount of 15% leads to a selling price of ₹1700, what is the marked price?
3. How do you calculate the percentage discount if the marked price is ₹3000 and the selling price is ₹2400?
4. If no discount is offered, how is the marked price related to the selling price?
5. What would the selling price be if the marked price is ₹4000 and a discount of 25% is applied?

**Tip:** Always double-check the relationship between selling price, discount, and marked price using percentages for better clarity.

Find the marked price when S.P = ₹1600 and discount = 20%

Learn how to calculate the marked price when the selling price is ₹1600 and a 20% discount is applied. This step-by-step solution demonstrates key concepts like percentage discounts and the relationship between selling price and marked price. Ideal for students in Grades 6-8.

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