Quant Exam > Quant Questions > A vendor fixed Selling Price of a product at ...
Start Learning for Free
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?
| FREE This question is part of | Download PDF Attempt this Test |
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%.
|
Explore Courses for Quant exam
|
|
Similar Quant Doubts
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?
Question Description
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?.
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?.
Solutions 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? in English & in Hindi are available as part of our courses for Quant.
Download more important topics, notes, lectures and mock test series for Quant Exam by signing up for free.
Here you can find the meaning of 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? defined & explained in the simplest way possible. Besides giving the explanation of
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?, a detailed solution 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? has been provided alongside types of 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? theory, EduRev gives you an
ample number of questions to practice 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? tests, examples and also practice Quant tests.
|
|
Explore Courses for Quant exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup