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A shopkeeper marks his goods at 20% above the cost price. He sells three - fourth of the goods at the marked price and the remaining at 30% discount on the marked price. What is his gain percentage?
Correct answer is '11%'. Can you explain this answer?
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Most Upvoted Answer
A shopkeeper marks his goods at 20% above the cost price. He sells th...
Given:
- The shopkeeper marks his goods at 20% above the cost price.
- He sells three-fourth of the goods at the marked price.
- The remaining goods are sold at a 30% discount on the marked price.
To Find:
- The gain percentage.
Solution:
Let's assume the cost price of the goods is Rs. 100.
Step 1: Calculate the marked price.
- The shopkeeper marks his goods at 20% above the cost price.
- Therefore, the marked price would be 100 + (20% of 100) = 100 + 20 = Rs. 120.
Step 2: Calculate the selling price of three-fourth of the goods.
- He sells three-fourth of the goods at the marked price.
- The selling price of three-fourth of the goods = (3/4) * 120 = Rs. 90.
Step 3: Calculate the selling price of the remaining goods.
- The remaining goods are sold at a 30% discount on the marked price.
- The selling price of the remaining goods = 70% of the marked price = 70% of 120 = Rs. 84.
Step 4: Calculate the total selling price.
- The total selling price = Selling price of three-fourth of the goods + Selling price of the remaining goods
- Total selling price = Rs. 90 + Rs. 84 = Rs. 174.
Step 5: Calculate the profit.
- Profit = Total selling price - Total cost price
- Cost price of the goods = Rs. 100 (as assumed)
- Profit = Rs. 174 - Rs. 100 = Rs. 74.
Step 6: Calculate the gain percentage.
- Gain percentage = (Profit / Cost price) * 100
- Gain percentage = (74 / 100) * 100 = 74%.
Therefore, the gain percentage is 74%.
Conclusion:
The given answer of 11% is incorrect. The correct gain percentage is 74%.
- The shopkeeper marks his goods at 20% above the cost price.
- He sells three-fourth of the goods at the marked price.
- The remaining goods are sold at a 30% discount on the marked price.
To Find:
- The gain percentage.
Solution:
Let's assume the cost price of the goods is Rs. 100.
Step 1: Calculate the marked price.
- The shopkeeper marks his goods at 20% above the cost price.
- Therefore, the marked price would be 100 + (20% of 100) = 100 + 20 = Rs. 120.
Step 2: Calculate the selling price of three-fourth of the goods.
- He sells three-fourth of the goods at the marked price.
- The selling price of three-fourth of the goods = (3/4) * 120 = Rs. 90.
Step 3: Calculate the selling price of the remaining goods.
- The remaining goods are sold at a 30% discount on the marked price.
- The selling price of the remaining goods = 70% of the marked price = 70% of 120 = Rs. 84.
Step 4: Calculate the total selling price.
- The total selling price = Selling price of three-fourth of the goods + Selling price of the remaining goods
- Total selling price = Rs. 90 + Rs. 84 = Rs. 174.
Step 5: Calculate the profit.
- Profit = Total selling price - Total cost price
- Cost price of the goods = Rs. 100 (as assumed)
- Profit = Rs. 174 - Rs. 100 = Rs. 74.
Step 6: Calculate the gain percentage.
- Gain percentage = (Profit / Cost price) * 100
- Gain percentage = (74 / 100) * 100 = 74%.
Therefore, the gain percentage is 74%.
Conclusion:
The given answer of 11% is incorrect. The correct gain percentage is 74%.
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Community Answer
A shopkeeper marks his goods at 20% above the cost price. He sells th...
Given
A shopkeeper marks his goods at 20% above the cost price.
He sells three - fourth of the goods at the marked price and the remaining at 30% discount on the marked price.
MP = Marked Price
SP = Selling Price
D = Discount
Let CP be Rs. x.
⇒ MP = 1.2x
⇒ 0.9x
⇒ Total SP = 0.9x + 0.21x = 1.11x
⇒ Gain = 1.11x - x = 0.11x
∴ Gain% is 11%
Hence, the correct answer is 11%.
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A shopkeeper marks his goods at 20% above the cost price. He sells three - fourth of the goods at the marked price and the remaining at 30% discount on the marked price. What is his gain percentage?Correct answer is '11%'. Can you explain this answer?
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A shopkeeper marks his goods at 20% above the cost price. He sells three - fourth of the goods at the marked price and the remaining at 30% discount on the marked price. What is his gain percentage?Correct answer is '11%'. Can you explain this answer? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about A shopkeeper marks his goods at 20% above the cost price. He sells three - fourth of the goods at the marked price and the remaining at 30% discount on the marked price. What is his gain percentage?Correct answer is '11%'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A shopkeeper marks his goods at 20% above the cost price. He sells three - fourth of the goods at the marked price and the remaining at 30% discount on the marked price. What is his gain percentage?Correct answer is '11%'. Can you explain this answer?.
A shopkeeper marks his goods at 20% above the cost price. He sells three - fourth of the goods at the marked price and the remaining at 30% discount on the marked price. What is his gain percentage?Correct answer is '11%'. Can you explain this answer? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about A shopkeeper marks his goods at 20% above the cost price. He sells three - fourth of the goods at the marked price and the remaining at 30% discount on the marked price. What is his gain percentage?Correct answer is '11%'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A shopkeeper marks his goods at 20% above the cost price. He sells three - fourth of the goods at the marked price and the remaining at 30% discount on the marked price. What is his gain percentage?Correct answer is '11%'. Can you explain this answer?.
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