A shopkeeper gives a discount of 15% on the marked price of an article. If the selling price is ₹8,500, then the discount on it will be ________
Discount Calculation Steps
This problem involves calculating the discount amount given the selling price and the discount percentage offered on the marked price of an article.
Finding the Marked Price
The shopkeeper offers a discount of 15% on the marked price. This means the selling price is the marked price minus the discount.
Let the Marked Price (MP) be represented by '$MP$'.
The discount amount is 15% of the marked price, which can be written as:
Discount = $15\% \times MP = \frac{15}{100} \times MP = 0.15 \times MP$
The Selling Price (SP) is calculated as:
$SP = MP - \text{Discount}$
$SP = MP - (0.15 \times MP)$
$SP = MP \times (1 - 0.15)$
$SP = MP \times 0.85$
We are given that the Selling Price (SP) is ₹8,500.
So, we can set up the equation:
$₹8,500 = MP \times 0.85$
To find the Marked Price (MP), we rearrange the equation:
$MP = \frac{₹8,500}{0.85}$
$MP = \frac{₹8,50,000}{85}$
$MP = ₹10,000$
Therefore, the marked price of the article is ₹10,000.
Calculating the Discount Amount
Now that we have the marked price, we can calculate the actual discount amount.
Method 1: Using the discount percentage
- Discount = 15% of Marked Price
- Discount = $15\% \times ₹10,000$
- Discount = $\frac{15}{100} \times ₹10,000$
- Discount = $15 \times ₹100$
- Discount = ₹1,500
Method 2: Using Marked Price and Selling Price
- Discount = Marked Price - Selling Price
- Discount = ₹10,000 - ₹8,500
- Discount = ₹1,500
Both methods show that the discount amount is ₹1,500.
Conclusion
The discount given by the shopkeeper on the marked price is ₹1,500.
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