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A vendor sells his articles at a certain profit percentage. If he sells his articles at 1/4th of his actual selling price then he incurs a loss of 60%. What is his actual profit percentage?
- a)40%
- b)20%
- c)60%
- d)80%
Correct answer is option 'C'. Can you explain this answer?
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Verified Answer
A vendor sells his articles at a certain profit percentage. If he sell...
Let the cost price = 100 Rs.
From the options:
If profit % = 60%
Then SP = 160 Rs.
New SP = 160/4 = 40 Rs.
Then,
Percentage loss= (100-40)/100 = 60%
Hence Verified
From the options:
If profit % = 60%
Then SP = 160 Rs.
New SP = 160/4 = 40 Rs.
Then,
Percentage loss= (100-40)/100 = 60%
Hence Verified
Most Upvoted Answer
A vendor sells his articles at a certain profit percentage. If he sell...
Problem Analysis:
Let's assume the cost price of the article is C and the selling price is S. The profit percentage is P.
According to the given information,
Selling price when sold at 1/4th of the actual selling price = S/4
Loss incurred = 60% = 60/100 = 3/5 of the cost price
Solution:
Step 1: Calculate the cost price (C) using the loss incurred.
Loss incurred = Cost price - Selling price when sold at 1/4th of the actual selling price
3/5 * C = C - S/4
Step 2: Simplify the equation.
Multiplying through by 20 to eliminate fractions,
12C = 20C - 5S
20C - 12C = 5S
8C = 5S
Step 3: Calculate the selling price (S) using the cost price (C) and the given profit percentage (P).
Profit percentage = (S - C)/C * 100
P = (S - C)/C * 100
P/100 = (S - C)/C
S - C = (P/100) * C
S = C + (P/100) * C
S = C * (1 + P/100)
Step 4: Substitute the value of S from Step 3 into the equation obtained in Step 2.
8C = 5 * C * (1 + P/100)
8 = 5 * (1 + P/100)
8/5 = 1 + P/100
8/5 - 1 = P/100
3/5 = P/100
Step 5: Calculate the profit percentage (P).
P = (3/5) * 100
P = 60%
Therefore, the actual profit percentage is 60%. Answer choice C is correct.
Let's assume the cost price of the article is C and the selling price is S. The profit percentage is P.
According to the given information,
Selling price when sold at 1/4th of the actual selling price = S/4
Loss incurred = 60% = 60/100 = 3/5 of the cost price
Solution:
Step 1: Calculate the cost price (C) using the loss incurred.
Loss incurred = Cost price - Selling price when sold at 1/4th of the actual selling price
3/5 * C = C - S/4
Step 2: Simplify the equation.
Multiplying through by 20 to eliminate fractions,
12C = 20C - 5S
20C - 12C = 5S
8C = 5S
Step 3: Calculate the selling price (S) using the cost price (C) and the given profit percentage (P).
Profit percentage = (S - C)/C * 100
P = (S - C)/C * 100
P/100 = (S - C)/C
S - C = (P/100) * C
S = C + (P/100) * C
S = C * (1 + P/100)
Step 4: Substitute the value of S from Step 3 into the equation obtained in Step 2.
8C = 5 * C * (1 + P/100)
8 = 5 * (1 + P/100)
8/5 = 1 + P/100
8/5 - 1 = P/100
3/5 = P/100
Step 5: Calculate the profit percentage (P).
P = (3/5) * 100
P = 60%
Therefore, the actual profit percentage is 60%. Answer choice C is correct.
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A vendor sells his articles at a certain profit percentage. If he sells his articles at 1/4thof his actual selling price then he incurs a loss of 60%. What is his actual profit percentage?a)40%b)20%c)60%d)80%Correct answer is option 'C'. Can you explain this answer?
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A vendor sells his articles at a certain profit percentage. If he sells his articles at 1/4thof his actual selling price then he incurs a loss of 60%. What is his actual profit percentage?a)40%b)20%c)60%d)80%Correct answer is option 'C'. Can you explain this answer? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about A vendor sells his articles at a certain profit percentage. If he sells his articles at 1/4thof his actual selling price then he incurs a loss of 60%. What is his actual profit percentage?a)40%b)20%c)60%d)80%Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A vendor sells his articles at a certain profit percentage. If he sells his articles at 1/4thof his actual selling price then he incurs a loss of 60%. What is his actual profit percentage?a)40%b)20%c)60%d)80%Correct answer is option 'C'. Can you explain this answer?.
A vendor sells his articles at a certain profit percentage. If he sells his articles at 1/4thof his actual selling price then he incurs a loss of 60%. What is his actual profit percentage?a)40%b)20%c)60%d)80%Correct answer is option 'C'. Can you explain this answer? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about A vendor sells his articles at a certain profit percentage. If he sells his articles at 1/4thof his actual selling price then he incurs a loss of 60%. What is his actual profit percentage?a)40%b)20%c)60%d)80%Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A vendor sells his articles at a certain profit percentage. If he sells his articles at 1/4thof his actual selling price then he incurs a loss of 60%. What is his actual profit percentage?a)40%b)20%c)60%d)80%Correct answer is option 'C'. Can you explain this answer?.
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A vendor sells his articles at a certain profit percentage. If he sells his articles at 1/4thof his actual selling price then he incurs a loss of 60%. What is his actual profit percentage?a)40%b)20%c)60%d)80%Correct answer is option 'C'. Can you explain this answer?, a detailed solution for A vendor sells his articles at a certain profit percentage. If he sells his articles at 1/4thof his actual selling price then he incurs a loss of 60%. What is his actual profit percentage?a)40%b)20%c)60%d)80%Correct answer is option 'C'. Can you explain this answer? has been provided alongside types of A vendor sells his articles at a certain profit percentage. If he sells his articles at 1/4thof his actual selling price then he incurs a loss of 60%. What is his actual profit percentage?a)40%b)20%c)60%d)80%Correct answer is option 'C'. Can you explain this answer? theory, EduRev gives you an
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