Certainly! Let's break down the problem step by step.
### Problem Statement:
An article is marked at $6500 and a discount of 10% is given.
### a) Find the discount amount:
To determine the discount amount, we need to calculate what 10% of the marked price (6500) is.
1. Discount Percent: 10%
2. Marked Price (MP): 6500
The formula to calculate the discount amount is:
[tex]\[ \text{Discount Amount} = (\text{Discount Percent} / 100) \times \text{Marked Price} \][/tex]
Substitute the values:
[tex]\[ \text{Discount Amount} = (10 / 100) \times 6500 \][/tex]
[tex]\[ \text{Discount Amount} = 0.1 \times 6500 \][/tex]
[tex]\[ \text{Discount Amount} = 650.0 \][/tex]
So, the discount amount is 650.0.
### b) Calculate the selling price of the article:
The selling price after the discount can be found by subtracting the discount amount from the marked price.
1. Marked Price (MP): 6500
2. Discount Amount: 650.0
The formula to calculate the selling price is:
[tex]\[ \text{Selling Price (SP)} = \text{Marked Price} - \text{Discount Amount} \][/tex]
Substitute the values:
[tex]\[ \text{Selling Price (SP)} = 6500 - 650 \][/tex]
[tex]\[ \text{Selling Price (SP)} = 5850.0 \][/tex]
So, the selling price is 5850.0.
### c) Write the formula to calculate profit:
To calculate profit, we need the cost price (CP) and the selling price (SP). The formula for profit is:
[tex]\[ \text{Profit} = \text{Selling Price (SP)} - \text{Cost Price (CP)} \][/tex]
Please note that to calculate the actual profit, we would need the cost price, which is not provided in this problem. The formula itself remains:
[tex]\[ \text{Profit} = \text{SP} - \text{CP} \][/tex]
### Summary:
- The discount amount is 650.0.
- The selling price of the article is 5850.0.
- The formula to calculate profit is [tex]\( \text{Profit} = \text{SP} - \text{CP} \)[/tex].
