Calculate Sweater's Original Price Before Discount
The problem asks for the original price of a sweater given the amount saved (discount) and the discount percentage.
Understanding Discount Calculation
The discount amount is a percentage of the original price. We can express this relationship using a formula:
Discount Amount = Discount Percentage × Original Price
Finding the Original Price
We are given:
- Discount Amount = ₹200
- Discount Percentage = 25%
Let the Original Price be P.
We can write the equation as:
₹200 = 25% of P
Converting the percentage to a decimal:
₹200 = $0.25 \times P$
To find the Original Price (P), we rearrange the equation:
$P = \frac{\text{Discount Amount}}{\text{Discount Percentage (as decimal)}}$
$P = \frac{200}{0.25}$
Since $0.25$ is equal to $\frac{1}{4}$:
$P = \frac{200}{1/4}$
$P = 200 \times 4$
$P = 800$
Therefore, the price of the sweater before the discount was ₹800.
Similar Questions
- An item marked for ₹38,800 is available on a discount of 25% or two successive discounts of 10% and 15%. What is the difference between the selling prices in the discount schemes?
- A wholesaler gives a scheme discount of 10% on a marked price of ₹400. What is the selling price?
- How much percentage above the cost price should a shopkeeper mark his goods so that after allowing a discount 25% he should gain 12%?
- A dealer offers successive discounts of 15% and 12% on a refrigerator marked at ₹25,000. What is the final selling price?
- The marked price of a shirt is ₹500. If the shopkeeper offers a 20% discount, what is the selling price of the shirt?
- If on a marked price, the difference between selling prices with a discount of 45% and two successive discounts of 30% and 20% is ₹84, then the marked price is _______.
- If a selling price of ₹36 results in a 10% discount on a list price, what selling price will result in a 20% discount on the list price?
- A salesman offers 20% additional discount, after offering an initial discount of 25% on the labelled rate of a laptop. If the final sale price of the laptop is ₹18,000, then what was its labelled rate?
- A man got a discount of 10% on sugar at Big Mart which allowed him to buy 25 kg more for ₹225/-. What is the discounted price and the original price of the sugar per kg?
- After deducting a commission of 10% on the marked price, a T.V. set costs ₹9,090. What is its marked price?
Important Questions from Discount and MP
If a trader marks the price of an article 50 percent more than the cost price and allows a discount of 30 percent, then what is his profit percentage?
What will be the selling price of an article if two successive discounts of 15% and 12% are offered on its marked price of Rs. 25,500?
Printed price of a mobile is Rs. 6,400. It is sold in Rs. 2,560 with two consecutive discount. If first discount is 20%, then what is the second discount?
Lekhana saves Rs. 15 on the purchase of a book when a discount of 20% is given. How much did she pay for the book?
What will be the selling price if three successive discounts of 10% is applied on an item marked at Rs 3000?
