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By selling an umbrella for Rs. 300, a shopkeeper gains 20%. During a clearance sale, the shopkeeper allows a discount of 10% on the marked price. His gain percent during the sale is:
- a)7
- b)7.5
- c)8
- d)9
- e)None of these
Correct answer is option 'C'. Can you explain this answer?
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Verified Answer
By selling an umbrella for Rs. 300, a shopkeeper gains 20%. During a c...
Marked price = Rs. 300.
C. P. = Rs. (100/120×300) = Rs. 250.
Sale price = 90% of Rs. 300 = Rs. 270.
∴ Required gain% =(20/250×100)%=8%
Most Upvoted Answer
By selling an umbrella for Rs. 300, a shopkeeper gains 20%. During a c...
Given:
- Selling price of the umbrella = Rs. 300
- Gain percentage = 20%
- Discount during clearance sale = 10%
To Find:
- Gain percentage during the sale
Solution:
To find the gain percentage during the sale, we need to compare the selling price during the sale with the cost price of the umbrella.
Step 1: Calculate the Marked Price
Since the selling price is Rs. 300 and the gain percentage is 20%, we can calculate the cost price (CP) and the marked price (MP) using the formula:
CP = (100 / (100 + Gain%) ) * Selling Price
MP = Selling Price + Gain
Given that the selling price is Rs. 300 and the gain percentage is 20%:
CP = (100 / (100 + 20) ) * 300 = (100 / 120) * 300 = (5 / 6) * 300 = 250
MP = Selling Price + Gain = 300 + (20/100) * 300 = 300 + 60 = 360
Therefore, the marked price of the umbrella is Rs. 360.
Step 2: Calculate the Selling Price during the Sale
During the clearance sale, a discount of 10% is given on the marked price. We can calculate the selling price during the sale using the formula:
Selling Price during the Sale = Marked Price - (Discount % * Marked Price)
Given that the discount is 10% and the marked price is Rs. 360:
Selling Price during the Sale = 360 - (10/100) * 360 = 360 - 36 = 324
Therefore, the selling price during the sale is Rs. 324.
Step 3: Calculate the Gain Percentage during the Sale
To calculate the gain percentage during the sale, we need to compare the selling price during the sale with the cost price. We can use the formula:
Gain Percentage during the Sale = ((Selling Price during the Sale - Cost Price) / Cost Price) * 100
Given that the selling price during the sale is Rs. 324 and the cost price is Rs. 250:
Gain Percentage during the Sale = ((324 - 250) / 250) * 100 = (74 / 250) * 100 = 29.6%
Therefore, the gain percentage during the sale is approximately 29.6%.
Conclusion:
The gain percentage during the clearance sale is approximately 29.6%.
- Selling price of the umbrella = Rs. 300
- Gain percentage = 20%
- Discount during clearance sale = 10%
To Find:
- Gain percentage during the sale
Solution:
To find the gain percentage during the sale, we need to compare the selling price during the sale with the cost price of the umbrella.
Step 1: Calculate the Marked Price
Since the selling price is Rs. 300 and the gain percentage is 20%, we can calculate the cost price (CP) and the marked price (MP) using the formula:
CP = (100 / (100 + Gain%) ) * Selling Price
MP = Selling Price + Gain
Given that the selling price is Rs. 300 and the gain percentage is 20%:
CP = (100 / (100 + 20) ) * 300 = (100 / 120) * 300 = (5 / 6) * 300 = 250
MP = Selling Price + Gain = 300 + (20/100) * 300 = 300 + 60 = 360
Therefore, the marked price of the umbrella is Rs. 360.
Step 2: Calculate the Selling Price during the Sale
During the clearance sale, a discount of 10% is given on the marked price. We can calculate the selling price during the sale using the formula:
Selling Price during the Sale = Marked Price - (Discount % * Marked Price)
Given that the discount is 10% and the marked price is Rs. 360:
Selling Price during the Sale = 360 - (10/100) * 360 = 360 - 36 = 324
Therefore, the selling price during the sale is Rs. 324.
Step 3: Calculate the Gain Percentage during the Sale
To calculate the gain percentage during the sale, we need to compare the selling price during the sale with the cost price. We can use the formula:
Gain Percentage during the Sale = ((Selling Price during the Sale - Cost Price) / Cost Price) * 100
Given that the selling price during the sale is Rs. 324 and the cost price is Rs. 250:
Gain Percentage during the Sale = ((324 - 250) / 250) * 100 = (74 / 250) * 100 = 29.6%
Therefore, the gain percentage during the sale is approximately 29.6%.
Conclusion:
The gain percentage during the clearance sale is approximately 29.6%.
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By selling an umbrella for Rs. 300, a shopkeeper gains 20%. During a clearance sale, the shopkeeper allows a discount of 10% on the marked price. His gain percent during the sale is: a)7b)7.5c)8d)9e)None of theseCorrect answer is option 'C'. Can you explain this answer?
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