Answer :
Let's tackle this problem step-by-step:
1. Understand the problem: We need to find the selling price of an article that costs Rs. 650 if the dealer wants to make a profit of 25%.
2. Identify the cost price and profit percentage:
- Cost price of the article (C.P.) = Rs. 650
- Desired profit percentage = 25%
3. Calculate the profit amount:
To find the profit amount, we use the formula:
[tex]\[ \text{Profit Amount} = \left(\frac{\text{Profit Percentage}}{100}\right) \times \text{Cost Price} \][/tex]
Substituting the given values:
[tex]\[ \text{Profit Amount} = \left(\frac{25}{100}\right) \times 650 = 0.25 \times 650 = 162.5 \][/tex]
Thus, the profit amount is Rs. 162.5.
4. Calculate the selling price:
The selling price (S.P.) can be found by adding the profit amount to the cost price:
[tex]\[ \text{Selling Price} = \text{Cost Price} + \text{Profit Amount} \][/tex]
Substituting the values:
[tex]\[ \text{Selling Price} = 650 + 162.5 = 812.5 \][/tex]
Therefore, the selling price of the article should be Rs. 812.5 to achieve a 25% profit.
In summary:
- The profit amount is Rs. 162.5.
- The selling price should be Rs. 812.5.
1. Understand the problem: We need to find the selling price of an article that costs Rs. 650 if the dealer wants to make a profit of 25%.
2. Identify the cost price and profit percentage:
- Cost price of the article (C.P.) = Rs. 650
- Desired profit percentage = 25%
3. Calculate the profit amount:
To find the profit amount, we use the formula:
[tex]\[ \text{Profit Amount} = \left(\frac{\text{Profit Percentage}}{100}\right) \times \text{Cost Price} \][/tex]
Substituting the given values:
[tex]\[ \text{Profit Amount} = \left(\frac{25}{100}\right) \times 650 = 0.25 \times 650 = 162.5 \][/tex]
Thus, the profit amount is Rs. 162.5.
4. Calculate the selling price:
The selling price (S.P.) can be found by adding the profit amount to the cost price:
[tex]\[ \text{Selling Price} = \text{Cost Price} + \text{Profit Amount} \][/tex]
Substituting the values:
[tex]\[ \text{Selling Price} = 650 + 162.5 = 812.5 \][/tex]
Therefore, the selling price of the article should be Rs. 812.5 to achieve a 25% profit.
In summary:
- The profit amount is Rs. 162.5.
- The selling price should be Rs. 812.5.
