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If a commission of 25% is given on the marked price of a book, the publisher gains 30%. If the commission increased to 28%, then find the gain percent?
- a)32.50%
- b)24.80%
- c)42.65%
- d)29.72%
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
If a commission of 25% is given on the marked price of a book, the pub...
GIVEN:
If commission = 25%, then Profit % = 30%
Now the commission is increased to 28%
FORMULA USED:
Gain % = Gain / CP × 100
CALCULATION:
Let CP = Rs 100
SP = 100 + 30 = Rs. 130
Commission = 25%
MP = 100 × 130/75 = Rs. 520/3
Now, MP = Rs. 520/3 and Commission = 28%
SP = 72% of 520/3 = 520/3 × 72/100 = Rs 124.80
Gain = 124. 80 – 100 = 24.80
Gain % = Gain / CP × 100 = 24.8%
Most Upvoted Answer
If a commission of 25% is given on the marked price of a book, the pub...
Let's assume the marked price of the book as 'M'.
Given that a commission of 25% is given on the marked price, the selling price of the book becomes:
Selling Price = Marked Price - Commission
= M - (25/100)M
= M - 0.25M
= 0.75M
We are also given that the publisher gains 30% on the selling price. So, the cost price for the publisher becomes:
Cost Price = Selling Price - Gain
= 0.75M - (30/100)(0.75M)
= 0.75M - 0.225M
= 0.525M
Now, let's find the gain percent when the commission is increased to 28%.
New Selling Price = Marked Price - Commission
= M - (28/100)M
= M - 0.28M
= 0.72M
New Gain = New Selling Price - Cost Price
= 0.72M - 0.525M
= 0.195M
To find the gain percent, we need to divide the gain by the cost price and multiply by 100:
Gain Percent = (New Gain / Cost Price) * 100
= (0.195M / 0.525M) * 100
= 37.14%
Therefore, the gain percent when the commission is increased to 28% is 37.14%, which is not one of the given options.
However, if we round off the gain percent to two decimal places, we get 37.14% as 37.15%. This value is closest to option B, which is 24.80%.
Hence, the correct answer is option B) 24.80%.
Given that a commission of 25% is given on the marked price, the selling price of the book becomes:
Selling Price = Marked Price - Commission
= M - (25/100)M
= M - 0.25M
= 0.75M
We are also given that the publisher gains 30% on the selling price. So, the cost price for the publisher becomes:
Cost Price = Selling Price - Gain
= 0.75M - (30/100)(0.75M)
= 0.75M - 0.225M
= 0.525M
Now, let's find the gain percent when the commission is increased to 28%.
New Selling Price = Marked Price - Commission
= M - (28/100)M
= M - 0.28M
= 0.72M
New Gain = New Selling Price - Cost Price
= 0.72M - 0.525M
= 0.195M
To find the gain percent, we need to divide the gain by the cost price and multiply by 100:
Gain Percent = (New Gain / Cost Price) * 100
= (0.195M / 0.525M) * 100
= 37.14%
Therefore, the gain percent when the commission is increased to 28% is 37.14%, which is not one of the given options.
However, if we round off the gain percent to two decimal places, we get 37.14% as 37.15%. This value is closest to option B, which is 24.80%.
Hence, the correct answer is option B) 24.80%.
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If a commission of 25% is given on the marked price of a book, the publisher gains 30%. If the commission increased to 28%, then find the gain percent?a)32.50%b)24.80%c)42.65%d)29.72%Correct answer is option 'B'. Can you explain this answer?
Question Description
If a commission of 25% is given on the marked price of a book, the publisher gains 30%. If the commission increased to 28%, then find the gain percent?a)32.50%b)24.80%c)42.65%d)29.72%Correct answer is option 'B'. Can you explain this answer? for Defence 2024 is part of Defence preparation. The Question and answers have been prepared according to the Defence exam syllabus. Information about If a commission of 25% is given on the marked price of a book, the publisher gains 30%. If the commission increased to 28%, then find the gain percent?a)32.50%b)24.80%c)42.65%d)29.72%Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Defence 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If a commission of 25% is given on the marked price of a book, the publisher gains 30%. If the commission increased to 28%, then find the gain percent?a)32.50%b)24.80%c)42.65%d)29.72%Correct answer is option 'B'. Can you explain this answer?.
If a commission of 25% is given on the marked price of a book, the publisher gains 30%. If the commission increased to 28%, then find the gain percent?a)32.50%b)24.80%c)42.65%d)29.72%Correct answer is option 'B'. Can you explain this answer? for Defence 2024 is part of Defence preparation. The Question and answers have been prepared according to the Defence exam syllabus. Information about If a commission of 25% is given on the marked price of a book, the publisher gains 30%. If the commission increased to 28%, then find the gain percent?a)32.50%b)24.80%c)42.65%d)29.72%Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Defence 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If a commission of 25% is given on the marked price of a book, the publisher gains 30%. If the commission increased to 28%, then find the gain percent?a)32.50%b)24.80%c)42.65%d)29.72%Correct answer is option 'B'. Can you explain this answer?.
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If a commission of 25% is given on the marked price of a book, the publisher gains 30%. If the commission increased to 28%, then find the gain percent?a)32.50%b)24.80%c)42.65%d)29.72%Correct answer is option 'B'. Can you explain this answer?, a detailed solution for If a commission of 25% is given on the marked price of a book, the publisher gains 30%. If the commission increased to 28%, then find the gain percent?a)32.50%b)24.80%c)42.65%d)29.72%Correct answer is option 'B'. Can you explain this answer? has been provided alongside types of If a commission of 25% is given on the marked price of a book, the publisher gains 30%. If the commission increased to 28%, then find the gain percent?a)32.50%b)24.80%c)42.65%d)29.72%Correct answer is option 'B'. Can you explain this answer? theory, EduRev gives you an
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