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A tradesman gives 4% discount on the marked price and gives 1 article free for buying every 15 articles and thus gains 35%. The marked price is increased above the cost price by.
- a)40%
- b)39%
- c)50%
- d)20%
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
A tradesman gives 4% discount on the marked price and gives 1 article ...
Most Upvoted Answer
A tradesman gives 4% discount on the marked price and gives 1 article ...
Explanation:
Let's assume the cost price of each article is x.
Discount and Free Articles:
1) The tradesman gives a 4% discount on the marked price. This means the selling price of each article is 96% of the marked price.
Selling price = (100 - discount %) * marked price
= 96/100 * marked price
= 0.96 * marked price
2) The tradesman gives 1 article free for every 15 articles purchased. This means the effective selling price is reduced for each article.
Let's assume the customer buys n articles.
Number of free articles = n/15
Total selling price = (n + n/15) * 0.96 * marked price
= (16n/15) * 0.96 * marked price
= (16/15) * 0.96 * marked price * n
Profit Calculation:
According to the question, the tradesman gains 35% profit.
Profit = Selling Price - Cost Price
= (16/15) * 0.96 * marked price * n - x * n
It is given that the tradesman gains 35% profit, so
Profit = 0.35 * Cost Price
= 0.35 * x * n
Equating the profit expressions:
(16/15) * 0.96 * marked price * n - x * n = 0.35 * x * n
Simplifying the equation:
(16/15) * 0.96 * marked price - x = 0.35 * x
(16/15) * 0.96 * marked price = 1.35 * x
Calculating the Increase in Marked Price:
The marked price is increased above the cost price.
Let the increase in marked price be p.
New marked price = x + p
Using the equation (16/15) * 0.96 * marked price = 1.35 * x, we can substitute the new marked price:
(16/15) * 0.96 * (x + p) = 1.35 * x
Simplifying the equation:
(16/15) * 0.96 * x + (16/15) * 0.96 * p = 1.35 * x
(16/15) * 0.96 * p = 1.35 * x - (16/15) * 0.96 * x
(16/15) * 0.96 * p = (1.35 - (16/15) * 0.96) * x
p = ((1.35 - (16/15) * 0.96) * x) / ((16/15) * 0.96)
Calculating the Percentage Increase:
The percentage increase in marked price can be calculated as:
Percentage increase = (p / x) * 100
Substituting the value of p, we get:
Percentage increase = (((1.35 - (16/15) * 0.96) * x) / ((16/15) * 0.96)) * 100
Simplifying the expression:
Percentage increase = ((1.35 - (16/15) * 0.96) / ((16/15) * 0
Let's assume the cost price of each article is x.
Discount and Free Articles:
1) The tradesman gives a 4% discount on the marked price. This means the selling price of each article is 96% of the marked price.
Selling price = (100 - discount %) * marked price
= 96/100 * marked price
= 0.96 * marked price
2) The tradesman gives 1 article free for every 15 articles purchased. This means the effective selling price is reduced for each article.
Let's assume the customer buys n articles.
Number of free articles = n/15
Total selling price = (n + n/15) * 0.96 * marked price
= (16n/15) * 0.96 * marked price
= (16/15) * 0.96 * marked price * n
Profit Calculation:
According to the question, the tradesman gains 35% profit.
Profit = Selling Price - Cost Price
= (16/15) * 0.96 * marked price * n - x * n
It is given that the tradesman gains 35% profit, so
Profit = 0.35 * Cost Price
= 0.35 * x * n
Equating the profit expressions:
(16/15) * 0.96 * marked price * n - x * n = 0.35 * x * n
Simplifying the equation:
(16/15) * 0.96 * marked price - x = 0.35 * x
(16/15) * 0.96 * marked price = 1.35 * x
Calculating the Increase in Marked Price:
The marked price is increased above the cost price.
Let the increase in marked price be p.
New marked price = x + p
Using the equation (16/15) * 0.96 * marked price = 1.35 * x, we can substitute the new marked price:
(16/15) * 0.96 * (x + p) = 1.35 * x
Simplifying the equation:
(16/15) * 0.96 * x + (16/15) * 0.96 * p = 1.35 * x
(16/15) * 0.96 * p = 1.35 * x - (16/15) * 0.96 * x
(16/15) * 0.96 * p = (1.35 - (16/15) * 0.96) * x
p = ((1.35 - (16/15) * 0.96) * x) / ((16/15) * 0.96)
Calculating the Percentage Increase:
The percentage increase in marked price can be calculated as:
Percentage increase = (p / x) * 100
Substituting the value of p, we get:
Percentage increase = (((1.35 - (16/15) * 0.96) * x) / ((16/15) * 0.96)) * 100
Simplifying the expression:
Percentage increase = ((1.35 - (16/15) * 0.96) / ((16/15) * 0
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A tradesman gives 4% discount on the marked price and gives 1 article free for buying every 15 articles and thus gains 35%. The marked price is increased above the cost price by.a)40%b)39%c)50%d)20%Correct answer is option 'C'. Can you explain this answer?
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A tradesman gives 4% discount on the marked price and gives 1 article free for buying every 15 articles and thus gains 35%. The marked price is increased above the cost price by.a)40%b)39%c)50%d)20%Correct answer is option 'C'. Can you explain this answer? for Teaching 2025 is part of Teaching preparation. The Question and answers have been prepared according to the Teaching exam syllabus. Information about A tradesman gives 4% discount on the marked price and gives 1 article free for buying every 15 articles and thus gains 35%. The marked price is increased above the cost price by.a)40%b)39%c)50%d)20%Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Teaching 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A tradesman gives 4% discount on the marked price and gives 1 article free for buying every 15 articles and thus gains 35%. The marked price is increased above the cost price by.a)40%b)39%c)50%d)20%Correct answer is option 'C'. Can you explain this answer?.
A tradesman gives 4% discount on the marked price and gives 1 article free for buying every 15 articles and thus gains 35%. The marked price is increased above the cost price by.a)40%b)39%c)50%d)20%Correct answer is option 'C'. Can you explain this answer? for Teaching 2025 is part of Teaching preparation. The Question and answers have been prepared according to the Teaching exam syllabus. Information about A tradesman gives 4% discount on the marked price and gives 1 article free for buying every 15 articles and thus gains 35%. The marked price is increased above the cost price by.a)40%b)39%c)50%d)20%Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Teaching 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A tradesman gives 4% discount on the marked price and gives 1 article free for buying every 15 articles and thus gains 35%. The marked price is increased above the cost price by.a)40%b)39%c)50%d)20%Correct answer is option 'C'. Can you explain this answer?.
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A tradesman gives 4% discount on the marked price and gives 1 article free for buying every 15 articles and thus gains 35%. The marked price is increased above the cost price by.a)40%b)39%c)50%d)20%Correct answer is option 'C'. Can you explain this answer?, a detailed solution for A tradesman gives 4% discount on the marked price and gives 1 article free for buying every 15 articles and thus gains 35%. The marked price is increased above the cost price by.a)40%b)39%c)50%d)20%Correct answer is option 'C'. Can you explain this answer? has been provided alongside types of A tradesman gives 4% discount on the marked price and gives 1 article free for buying every 15 articles and thus gains 35%. The marked price is increased above the cost price by.a)40%b)39%c)50%d)20%Correct answer is option 'C'. Can you explain this answer? theory, EduRev gives you an
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