$21\frac{3}{7}\%$
Calculate Discount Percentage (d%)
This problem involves calculating the discount percentage given the cost price (CP), marked price (MP) markup, and the final profit percentage.
Step-by-Step Solution:
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Assume Cost Price (CP): Let the cost price of the article be $100$.
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Calculate Marked Price (MP): The article is marked 40% above the cost price.
MP = $CP + (40\% \text{ of } CP)$
MP = $100 + (0.40 \times 100)$
MP = $100 + 40 = 140$
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Calculate Selling Price (SP): A profit of 10% is made on the cost price.
SP = $CP + (10\% \text{ of } CP)$
SP = $100 + (0.10 \times 100)$
SP = $100 + 10 = 110$
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Calculate the Discount Amount: The discount is the difference between the marked price and the selling price.
Discount Amount = $MP - SP
Discount Amount = $140 - 110 = 30$
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Calculate Discount Percentage (d%): The discount percentage is calculated on the marked price.
d% = $\frac{\text{Discount Amount}}{\text{Marked Price}} \times 100$
d% = $\frac{30}{140} \times 100$
d% = $\frac{3}{14} \times 100 = \frac{300}{14}$
d% = $\frac{150}{7}$
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Convert to Mixed Fraction: Convert the improper fraction to a mixed number.
d% = $21\frac{3}{7}\%$
Therefore, the discount percentage d% is $21\frac{3}{7}\%$.
Similar Questions
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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?
