Calculate Marked Price with Discount and Profit
This solution outlines the steps to find the marked price (MP) of an item when the cost price (CP), discount percentage, and profit percentage are known.
Determine Selling Price (SP)
First, calculate the Selling Price (SP) using the Cost Price (CP) and the profit percentage. The profit is 20% on the CP.
- Cost Price (CP): Rs. 720
- Profit Percentage: 20%
The formula for SP is:
$ SP = CP \times (1 + \text{Profit Percentage}) $
Substituting the values:
$ SP = 720 \times (1 + 0.20) $
$ SP = 720 \times 1.20 $
$ SP = 864 $
So, the Selling Price is Rs. 864.
Calculate Marked Price (MP)
Next, calculate the Marked Price (MP) using the Selling Price (SP) and the discount percentage. The discount is 40% on the MP.
- Selling Price (SP): Rs. 864
- Discount Percentage: 40%
The relationship between SP, MP, and discount is:
$ SP = MP \times (1 - \text{Discount Percentage}) $
To find the MP, rearrange the formula:
$ MP = \frac{SP}{(1 - \text{Discount Percentage})} $
Substituting the values:
$ MP = \frac{864}{(1 - 0.40)} $
$ MP = \frac{864}{0.60} $
$ MP = 1440 $
Therefore, the Marked Price is Rs. 1,440.
Final Answer
The marked price of the item is Rs. 1,440.
Similar Questions
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If he gains Rs. 75 on an item, what is the cost price of the item? - A shopkeeper marks an article at Rs. 720 and gives a discount of Rs. 144. He earns a profit of Rs. 36. What is the cost price?
Important Questions from Profit and Loss
Ram bought a chair at 35% discount on its market price, Had Ram got no discount, he would have had to pay ₹245 more. How much did Ram pay for the chair?
A shopkeeper bought an item for Rs. 4,500 and sold it at a loss of 5%. From this money, he bought another item and sold it at a profit of 10%. What is his overall profit?
A man sells two articles at Rs. 9,180 each. He gains 8% on one article and loses 15% on the other. His overall profit or loss is:
A shopkeeper selling an article for ₹46 loses 8%. In order to gain 6%, what should be the selling price of the article?
Rahul purchased 80 items from the market. 25% items of the total items were defective and the remaining items were sold at 50% profit. What will be the overall profit percentage?
