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Discounts offered by the fruit vendor on the selling price of mangoes are in the following way.
5% discount on the selling price of 1 dozen mangoes
10% discount on the selling price of 2 dozen mangoes
15% discount on the selling price of 3 dozen mangoes and so on.
10% discount on the selling price of 2 dozen mangoes
15% discount on the selling price of 3 dozen mangoes and so on.
Find the maximum percentage discount a fruit vendor can give to a customer so as to have no loss.
(Note: A fruit vendor gets 25% profit on selling 1 dozen mangoes without giving discount)
(Note: A fruit vendor gets 25% profit on selling 1 dozen mangoes without giving discount)
- a)25%
- b)15%
- c)20%
- d)36%
Correct answer is option 'C'. Can you explain this answer?
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Most Upvoted Answer
Discounts offered by the fruit vendor on the selling price of mangoes ...
To find the maximum percentage discount a fruit vendor can give to a customer without incurring any loss, we need to analyze the profit margin and the discount offered.
Profit Margin:
Given that the fruit vendor gets a 25% profit on selling 1 dozen mangoes without giving any discount, we can calculate the cost price of 1 dozen mangoes.
Let the cost price of 1 dozen mangoes be C.
Profit = 25% of C
Selling price of 1 dozen mangoes = Cost price + Profit
= C + 0.25C
= 1.25C
Therefore, the cost price of 1 dozen mangoes is 0.8C.
Discount Analysis:
Let's consider the discount percentages offered on different quantities of mangoes.
- 5% discount on the selling price of 1 dozen mangoes.
- 10% discount on the selling price of 2 dozen mangoes.
- 15% discount on the selling price of 3 dozen mangoes.
- and so on...
Case 1: 1 Dozen Mangoes
Selling price of 1 dozen mangoes = 1.25C
Discount = 5% of 1.25C = 0.05 * 1.25C = 0.0625C
Case 2: 2 Dozen Mangoes
Selling price of 2 dozen mangoes = 2 * 1.25C = 2.5C
Discount = 10% of 2.5C = 0.1 * 2.5C = 0.25C
Case 3: 3 Dozen Mangoes
Selling price of 3 dozen mangoes = 3 * 1.25C = 3.75C
Discount = 15% of 3.75C = 0.15 * 3.75C = 0.5625C
From the above analysis, we can observe that as the quantity of mangoes increases, the discount also increases.
Maximum Discount:
To find the maximum discount, we need to find the point where the discount equals the profit margin.
Let's assume the maximum discount is offered on 'n' dozen mangoes.
Selling price of n dozen mangoes = n * 1.25C
Discount = (n * 1.25C) * (n * 0.05) = (1.25 * 0.05) * (n^2 * C) = 0.0625 * (n^2 * C)
To have no loss, the discount should be equal to the profit margin.
0.0625 * (n^2 * C) = 0.25C
Simplifying the equation,
n^2 = 4
Taking the square root on both sides,
n = 2
Therefore, the maximum discount can be offered on 2 dozen mangoes, which is 10%.
Hence, the correct answer is option C) 20%.
Profit Margin:
Given that the fruit vendor gets a 25% profit on selling 1 dozen mangoes without giving any discount, we can calculate the cost price of 1 dozen mangoes.
Let the cost price of 1 dozen mangoes be C.
Profit = 25% of C
Selling price of 1 dozen mangoes = Cost price + Profit
= C + 0.25C
= 1.25C
Therefore, the cost price of 1 dozen mangoes is 0.8C.
Discount Analysis:
Let's consider the discount percentages offered on different quantities of mangoes.
- 5% discount on the selling price of 1 dozen mangoes.
- 10% discount on the selling price of 2 dozen mangoes.
- 15% discount on the selling price of 3 dozen mangoes.
- and so on...
Case 1: 1 Dozen Mangoes
Selling price of 1 dozen mangoes = 1.25C
Discount = 5% of 1.25C = 0.05 * 1.25C = 0.0625C
Case 2: 2 Dozen Mangoes
Selling price of 2 dozen mangoes = 2 * 1.25C = 2.5C
Discount = 10% of 2.5C = 0.1 * 2.5C = 0.25C
Case 3: 3 Dozen Mangoes
Selling price of 3 dozen mangoes = 3 * 1.25C = 3.75C
Discount = 15% of 3.75C = 0.15 * 3.75C = 0.5625C
From the above analysis, we can observe that as the quantity of mangoes increases, the discount also increases.
Maximum Discount:
To find the maximum discount, we need to find the point where the discount equals the profit margin.
Let's assume the maximum discount is offered on 'n' dozen mangoes.
Selling price of n dozen mangoes = n * 1.25C
Discount = (n * 1.25C) * (n * 0.05) = (1.25 * 0.05) * (n^2 * C) = 0.0625 * (n^2 * C)
To have no loss, the discount should be equal to the profit margin.
0.0625 * (n^2 * C) = 0.25C
Simplifying the equation,
n^2 = 4
Taking the square root on both sides,
n = 2
Therefore, the maximum discount can be offered on 2 dozen mangoes, which is 10%.
Hence, the correct answer is option C) 20%.
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Community Answer
Discounts offered by the fruit vendor on the selling price of mangoes ...
When a fruit vendor sells 5 dozen mangoes to the customers, then the selling price after giving 25% becomes Rs. 3.75x, which is less than its cost price (Rs. 4x).
Therefore, fruit vendor can give a maximum of 20% discount to the customer.
Therefore, fruit vendor can give a maximum of 20% discount to the customer.
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Discounts offered by the fruit vendor on the selling price of mangoes are in the following way.5% discount on the selling price of 1 dozen mangoes10% discount on the selling price of 2 dozen mangoes15% discount on the selling price of 3 dozen mangoes and so on.Find the maximum percentage discount a fruit vendor can give to a customer so as to have no loss.(Note: A fruit vendor gets 25% profit on selling 1 dozen mangoes without giving discount)a)25%b)15%c)20%d)36%Correct answer is option 'C'. Can you explain this answer?
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Discounts offered by the fruit vendor on the selling price of mangoes are in the following way.5% discount on the selling price of 1 dozen mangoes10% discount on the selling price of 2 dozen mangoes15% discount on the selling price of 3 dozen mangoes and so on.Find the maximum percentage discount a fruit vendor can give to a customer so as to have no loss.(Note: A fruit vendor gets 25% profit on selling 1 dozen mangoes without giving discount)a)25%b)15%c)20%d)36%Correct answer is option 'C'. 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 Discounts offered by the fruit vendor on the selling price of mangoes are in the following way.5% discount on the selling price of 1 dozen mangoes10% discount on the selling price of 2 dozen mangoes15% discount on the selling price of 3 dozen mangoes and so on.Find the maximum percentage discount a fruit vendor can give to a customer so as to have no loss.(Note: A fruit vendor gets 25% profit on selling 1 dozen mangoes without giving discount)a)25%b)15%c)20%d)36%Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Discounts offered by the fruit vendor on the selling price of mangoes are in the following way.5% discount on the selling price of 1 dozen mangoes10% discount on the selling price of 2 dozen mangoes15% discount on the selling price of 3 dozen mangoes and so on.Find the maximum percentage discount a fruit vendor can give to a customer so as to have no loss.(Note: A fruit vendor gets 25% profit on selling 1 dozen mangoes without giving discount)a)25%b)15%c)20%d)36%Correct answer is option 'C'. Can you explain this answer?.
Discounts offered by the fruit vendor on the selling price of mangoes are in the following way.5% discount on the selling price of 1 dozen mangoes10% discount on the selling price of 2 dozen mangoes15% discount on the selling price of 3 dozen mangoes and so on.Find the maximum percentage discount a fruit vendor can give to a customer so as to have no loss.(Note: A fruit vendor gets 25% profit on selling 1 dozen mangoes without giving discount)a)25%b)15%c)20%d)36%Correct answer is option 'C'. 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 Discounts offered by the fruit vendor on the selling price of mangoes are in the following way.5% discount on the selling price of 1 dozen mangoes10% discount on the selling price of 2 dozen mangoes15% discount on the selling price of 3 dozen mangoes and so on.Find the maximum percentage discount a fruit vendor can give to a customer so as to have no loss.(Note: A fruit vendor gets 25% profit on selling 1 dozen mangoes without giving discount)a)25%b)15%c)20%d)36%Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Discounts offered by the fruit vendor on the selling price of mangoes are in the following way.5% discount on the selling price of 1 dozen mangoes10% discount on the selling price of 2 dozen mangoes15% discount on the selling price of 3 dozen mangoes and so on.Find the maximum percentage discount a fruit vendor can give to a customer so as to have no loss.(Note: A fruit vendor gets 25% profit on selling 1 dozen mangoes without giving discount)a)25%b)15%c)20%d)36%Correct answer is option 'C'. Can you explain this answer?.
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