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Mukesh sells two shirts. The cost price of the first shirt is equal to the selling price of the second shirt. The first shirt is sold at a profit of 30% and the second shirt is sold at a loss of 30%. What is the ratio of the selling price of the first shirt to the cost price of the second shirt?
- a)91 : 100
- b)100 : 91
- c)31 : 50
- d)50 : 31
Correct answer is option 'A'. Can you explain this answer?
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Verified Answer
Mukesh sells two shirts. The cost price of the first shirt is equal to...
First shirt is sold at a profit of 30%
We write 30% = 3/10
Let CP of the first shirt be 10 and profit be 3
So, SP of the first shirt = 10 + 3 = 13
(CP)1/(SP)1 = 10/13 ----(1)
Similarly second shirt is sold at a loss of 30%
We write 30% = 3/10
Let CP of the second shirt be 10 and loss be 3
So, SP of the second shirt be = 10 – 3 = 7
(CP)2/(SP)2 = 10/7 ----(2)
Given, CP of the first shirt is equal to the SP of the second shirt.
Multiply by 7 in equation (1) and multiply by 10 in equation (2) we get
CP)1/(SP)1 = 70/91
(CP)2/(SP)2 = 100/70
∴ ratio of the selling price of the first shirt to the cost price of the second shirt is 91 : 100
Most Upvoted Answer
Mukesh sells two shirts. The cost price of the first shirt is equal to...
To solve this problem, let's assume the cost price of the second shirt as 'x'. Given that the cost price of the first shirt is equal to the selling price of the second shirt, we can say that the selling price of the second shirt is also 'x'.
First Shirt:
- Cost price: Unknown
- Selling price: Unknown
- Profit: 30%
Second Shirt:
- Cost price: x
- Selling price: x
- Loss: 30%
Profit and Loss Calculation:
- Profit = Selling price - Cost price
- Loss = Cost price - Selling price
From the given information, we can set up the following equations:
For the first shirt:
Profit = 30% of Cost price
Profit = (30/100) * Cost price
For the second shirt:
Loss = 30% of Cost price
Loss = (30/100) * Cost price
Since the cost price of the second shirt is 'x', we can substitute it into the equation for loss:
Loss = (30/100) * x
Now, let's calculate the selling price of the first shirt:
Profit = Selling price - Cost price
Selling price = Profit + Cost price
Selling price = (30/100) * Cost price + Cost price
Selling price = (30/100 + 100/100) * Cost price
Selling price = (130/100) * Cost price
Selling price = 1.3 * Cost price
Now, let's find the ratio of the selling price of the first shirt to the cost price of the second shirt:
Ratio = Selling price of first shirt : Cost price of second shirt
Ratio = 1.3 * Cost price : x
Ratio = 1.3x : x
Simplifying the ratio:
Ratio = 1.3 : 1
To make the ratio whole numbers, we can multiply the ratio by 10:
Ratio = 13 : 10
Therefore, the ratio of the selling price of the first shirt to the cost price of the second shirt is 13 : 10, which is equivalent to 91 : 100. Hence, the correct answer is option A) 91 : 100.
First Shirt:
- Cost price: Unknown
- Selling price: Unknown
- Profit: 30%
Second Shirt:
- Cost price: x
- Selling price: x
- Loss: 30%
Profit and Loss Calculation:
- Profit = Selling price - Cost price
- Loss = Cost price - Selling price
From the given information, we can set up the following equations:
For the first shirt:
Profit = 30% of Cost price
Profit = (30/100) * Cost price
For the second shirt:
Loss = 30% of Cost price
Loss = (30/100) * Cost price
Since the cost price of the second shirt is 'x', we can substitute it into the equation for loss:
Loss = (30/100) * x
Now, let's calculate the selling price of the first shirt:
Profit = Selling price - Cost price
Selling price = Profit + Cost price
Selling price = (30/100) * Cost price + Cost price
Selling price = (30/100 + 100/100) * Cost price
Selling price = (130/100) * Cost price
Selling price = 1.3 * Cost price
Now, let's find the ratio of the selling price of the first shirt to the cost price of the second shirt:
Ratio = Selling price of first shirt : Cost price of second shirt
Ratio = 1.3 * Cost price : x
Ratio = 1.3x : x
Simplifying the ratio:
Ratio = 1.3 : 1
To make the ratio whole numbers, we can multiply the ratio by 10:
Ratio = 13 : 10
Therefore, the ratio of the selling price of the first shirt to the cost price of the second shirt is 13 : 10, which is equivalent to 91 : 100. Hence, the correct answer is option A) 91 : 100.
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Mukesh sells two shirts. The cost price of the first shirt is equal to the selling price of the second shirt. The first shirt is sold at a profit of 30% and the second shirt is sold at a loss of 30%. What is the ratio of the selling price of the first shirt to the cost price of the second shirt?a)91 : 100b)100 : 91c)31 : 50d)50 : 31Correct answer is option 'A'. Can you explain this answer?
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Mukesh sells two shirts. The cost price of the first shirt is equal to the selling price of the second shirt. The first shirt is sold at a profit of 30% and the second shirt is sold at a loss of 30%. What is the ratio of the selling price of the first shirt to the cost price of the second shirt?a)91 : 100b)100 : 91c)31 : 50d)50 : 31Correct answer is option 'A'. Can you explain this answer? for Railways 2024 is part of Railways preparation. The Question and answers have been prepared according to the Railways exam syllabus. Information about Mukesh sells two shirts. The cost price of the first shirt is equal to the selling price of the second shirt. The first shirt is sold at a profit of 30% and the second shirt is sold at a loss of 30%. What is the ratio of the selling price of the first shirt to the cost price of the second shirt?a)91 : 100b)100 : 91c)31 : 50d)50 : 31Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Railways 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Mukesh sells two shirts. The cost price of the first shirt is equal to the selling price of the second shirt. The first shirt is sold at a profit of 30% and the second shirt is sold at a loss of 30%. What is the ratio of the selling price of the first shirt to the cost price of the second shirt?a)91 : 100b)100 : 91c)31 : 50d)50 : 31Correct answer is option 'A'. Can you explain this answer?.
Mukesh sells two shirts. The cost price of the first shirt is equal to the selling price of the second shirt. The first shirt is sold at a profit of 30% and the second shirt is sold at a loss of 30%. What is the ratio of the selling price of the first shirt to the cost price of the second shirt?a)91 : 100b)100 : 91c)31 : 50d)50 : 31Correct answer is option 'A'. Can you explain this answer? for Railways 2024 is part of Railways preparation. The Question and answers have been prepared according to the Railways exam syllabus. Information about Mukesh sells two shirts. The cost price of the first shirt is equal to the selling price of the second shirt. The first shirt is sold at a profit of 30% and the second shirt is sold at a loss of 30%. What is the ratio of the selling price of the first shirt to the cost price of the second shirt?a)91 : 100b)100 : 91c)31 : 50d)50 : 31Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Railways 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Mukesh sells two shirts. The cost price of the first shirt is equal to the selling price of the second shirt. The first shirt is sold at a profit of 30% and the second shirt is sold at a loss of 30%. What is the ratio of the selling price of the first shirt to the cost price of the second shirt?a)91 : 100b)100 : 91c)31 : 50d)50 : 31Correct answer is option 'A'. Can you explain this answer?.
Solutions for Mukesh sells two shirts. The cost price of the first shirt is equal to the selling price of the second shirt. The first shirt is sold at a profit of 30% and the second shirt is sold at a loss of 30%. What is the ratio of the selling price of the first shirt to the cost price of the second shirt?a)91 : 100b)100 : 91c)31 : 50d)50 : 31Correct answer is option 'A'. Can you explain this answer? in English & in Hindi are available as part of our courses for Railways.
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