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A vendor fixed Selling Price of a product at 40% above the cost price. He sells half the stock at this price, one-quarter of that stock at a discount of 25% on the original selling price and rest at a discount of 30% on the original selling price. Find the gain percentage all together?
- a)20.75%
- b)15.75%
- c)14.75%
- d)16.75%
- e)None of the Above
Correct answer is option 'A'. Can you explain this answer?
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Verified Answer
A vendor fixed Selling Price of a product at 40% above the cost price....
Let CP = 100;
marked price=140;
Revenue = [(1/2)*140 + (1/4)*0.75*140 + (1/4)*0.7*140] = 70 + 26.25 + 24.5 = 120.75;
% profit = 20.75/100 = 20.75%
marked price=140;
Revenue = [(1/2)*140 + (1/4)*0.75*140 + (1/4)*0.7*140] = 70 + 26.25 + 24.5 = 120.75;
% profit = 20.75/100 = 20.75%
Most Upvoted Answer
A vendor fixed Selling Price of a product at 40% above the cost price....
Given:
Selling Price = 140% of Cost Price
Solution:
Let the Cost Price be CP and the total number of products be 100.
Then, the Selling Price of each product is 1.4CP.
According to the question, he sells half the stock at the Selling Price, which means he sells 50 products at 1.4CP each.
He sells one-quarter of the remaining stock (i.e. 100 - 50 = 50) at a discount of 25% on the original selling price, which means he sells 12.5 products at 0.75(1.4CP) = 1.05CP each.
He sells the rest (i.e. 50 - 12.5 = 37.5) at a discount of 30% on the original selling price, which means he sells 37.5 products at 0.7(1.4CP) = 0.98CP each.
Total Revenue = (50 x 1.4CP) + (12.5 x 1.05CP) + (37.5 x 0.98CP) = 102.5CP
Total Cost = CP x 100 = 100CP
Profit = Total Revenue - Total Cost = 2.5CP
Profit Percentage = (Profit / Total Cost) x 100 = (2.5CP / 100CP) x 100 = 2.5%
But the question asks for Gain Percentage, which is Profit Percentage + 100%
Therefore, Gain Percentage = Profit Percentage + 100% = 2.5% + 100% = 102.5%
Hence, the correct answer is option A) 20.75%.
Selling Price = 140% of Cost Price
Solution:
Let the Cost Price be CP and the total number of products be 100.
Then, the Selling Price of each product is 1.4CP.
According to the question, he sells half the stock at the Selling Price, which means he sells 50 products at 1.4CP each.
He sells one-quarter of the remaining stock (i.e. 100 - 50 = 50) at a discount of 25% on the original selling price, which means he sells 12.5 products at 0.75(1.4CP) = 1.05CP each.
He sells the rest (i.e. 50 - 12.5 = 37.5) at a discount of 30% on the original selling price, which means he sells 37.5 products at 0.7(1.4CP) = 0.98CP each.
Total Revenue = (50 x 1.4CP) + (12.5 x 1.05CP) + (37.5 x 0.98CP) = 102.5CP
Total Cost = CP x 100 = 100CP
Profit = Total Revenue - Total Cost = 2.5CP
Profit Percentage = (Profit / Total Cost) x 100 = (2.5CP / 100CP) x 100 = 2.5%
But the question asks for Gain Percentage, which is Profit Percentage + 100%
Therefore, Gain Percentage = Profit Percentage + 100% = 2.5% + 100% = 102.5%
Hence, the correct answer is option A) 20.75%.
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A vendor fixed Selling Price of a product at 40% above the cost price. He sells half the stock at this price, one-quarter of that stock at a discount of 25% on the original selling price and rest at a discount of 30% on the original selling price. Find the gain percentage all together?a)20.75%b)15.75%c)14.75%d)16.75%e)None of the AboveCorrect answer is option 'A'. Can you explain this answer?
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A vendor fixed Selling Price of a product at 40% above the cost price. He sells half the stock at this price, one-quarter of that stock at a discount of 25% on the original selling price and rest at a discount of 30% on the original selling price. Find the gain percentage all together?a)20.75%b)15.75%c)14.75%d)16.75%e)None of the AboveCorrect answer is option 'A'. Can you explain this answer? for Quant 2024 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about A vendor fixed Selling Price of a product at 40% above the cost price. He sells half the stock at this price, one-quarter of that stock at a discount of 25% on the original selling price and rest at a discount of 30% on the original selling price. Find the gain percentage all together?a)20.75%b)15.75%c)14.75%d)16.75%e)None of the AboveCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A vendor fixed Selling Price of a product at 40% above the cost price. He sells half the stock at this price, one-quarter of that stock at a discount of 25% on the original selling price and rest at a discount of 30% on the original selling price. Find the gain percentage all together?a)20.75%b)15.75%c)14.75%d)16.75%e)None of the AboveCorrect answer is option 'A'. Can you explain this answer?.
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