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A trader marks price of his goods 45% above the cost price and gives a discount of 20% on the marked price. What percentage of profit will the trader have?
  • a)
    15%
  • b)
    14%
  • c)
    29%
  • d)
    16%
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
A trader marks price of his goods 45% above the cost price and gives a...
Discount% = (MP - SP)/MP × 100
SP = MP - (Discount%/100) × MP
Let the cost price be Rs. X
Marked price = X + (45/100) × X = 1.45X
Discount = 20%
SP = 1.45X - (20/100) × 1.45X = 1.16X
Profit% = (SP - CP)/CP × 100
Profit% = (1.16X - X)/X × 100 = 16%
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Most Upvoted Answer
A trader marks price of his goods 45% above the cost price and gives a...
Markup Percentage:
The trader marks the price of his goods 45% above the cost price. This means that the selling price is 45% more than the cost price.

Discount Percentage:
The trader gives a discount of 20% on the marked price. This means that the selling price is reduced by 20% of the marked price.

Calculation:
Let's assume the cost price of the goods is $100.

Markup Price:
The trader marks the price 45% above the cost price:
Marked price = Cost price + Markup
Marked price = $100 + ($100 * 45/100)
Marked price = $100 + $45
Marked price = $145

Selling Price:
The trader gives a discount of 20% on the marked price:
Discount = Marked price * 20/100
Discount = $145 * 20/100
Discount = $29

Selling price = Marked price - Discount
Selling price = $145 - $29
Selling price = $116

Profit Percentage:
Profit = Selling price - Cost price
Profit = $116 - $100
Profit = $16

Profit percentage = (Profit / Cost price) * 100
Profit percentage = ($16 / $100) * 100
Profit percentage = 16%

Therefore, the trader will have a profit percentage of 16%.

Conclusion:
The correct answer is option D) 16%. The trader will have a profit percentage of 16% after giving a discount of 20% on the marked price, which is 45% above the cost price.
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A trader marks price of his goods 45% above the cost price and gives a discount of 20% on the marked price. What percentage of profit will the trader have?a)15%b)14%c)29%d)16%Correct answer is option 'D'. Can you explain this answer?
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A trader marks price of his goods 45% above the cost price and gives a discount of 20% on the marked price. What percentage of profit will the trader have?a)15%b)14%c)29%d)16%Correct answer is option 'D'. Can you explain this answer? for Railways 2024 is part of Railways preparation. The Question and answers have been prepared according to the Railways exam syllabus. Information about A trader marks price of his goods 45% above the cost price and gives a discount of 20% on the marked price. What percentage of profit will the trader have?a)15%b)14%c)29%d)16%Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Railways 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A trader marks price of his goods 45% above the cost price and gives a discount of 20% on the marked price. What percentage of profit will the trader have?a)15%b)14%c)29%d)16%Correct answer is option 'D'. Can you explain this answer?.
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