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The cost price of a shirt and a pair of trousers is Rs. 10,750. If the shirt costs 15% more than the trousers, find the cost price of the shirt.
- a)Rs. 5,500
- b)Rs. 5,625
- c)Rs. 5,750
- d)Rs. 6,000
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
The cost price of a shirt and a pair of trousers is Rs. 10,750. If the...
Understanding the Problem
To determine the cost price of the shirt, we first need to clarify the relationship between the costs of the shirt and the trousers.
Total Cost
- The total cost of the shirt and trousers is Rs. 10,750.
Cost Relationship
- Let the cost price of the trousers be represented as 'T'.
- According to the problem, the shirt costs 15% more than the trousers. This can be expressed as:
Shirt Cost = T + 0.15T = 1.15T
Setting Up the Equation
- Now, we can set up the equation based on the total cost:
T + 1.15T = 10,750
- This simplifies to:
2.15T = 10,750
Calculating the Cost of Trousers
- To find the value of 'T', divide both sides by 2.15:
T = 10,750 / 2.15
- Calculating this gives:
T = Rs. 5,000
Finding the Cost of the Shirt
- Now that we have the cost of trousers, we can find the cost of the shirt:
Shirt Cost = 1.15 * T = 1.15 * 5,000
- This calculates to:
Shirt Cost = Rs. 5,750
Conclusion
- Therefore, the cost price of the shirt is Rs. 5,750, which corresponds to option 'C'.
To determine the cost price of the shirt, we first need to clarify the relationship between the costs of the shirt and the trousers.
Total Cost
- The total cost of the shirt and trousers is Rs. 10,750.
Cost Relationship
- Let the cost price of the trousers be represented as 'T'.
- According to the problem, the shirt costs 15% more than the trousers. This can be expressed as:
Shirt Cost = T + 0.15T = 1.15T
Setting Up the Equation
- Now, we can set up the equation based on the total cost:
T + 1.15T = 10,750
- This simplifies to:
2.15T = 10,750
Calculating the Cost of Trousers
- To find the value of 'T', divide both sides by 2.15:
T = 10,750 / 2.15
- Calculating this gives:
T = Rs. 5,000
Finding the Cost of the Shirt
- Now that we have the cost of trousers, we can find the cost of the shirt:
Shirt Cost = 1.15 * T = 1.15 * 5,000
- This calculates to:
Shirt Cost = Rs. 5,750
Conclusion
- Therefore, the cost price of the shirt is Rs. 5,750, which corresponds to option 'C'.
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Community Answer
The cost price of a shirt and a pair of trousers is Rs. 10,750. If the...
Let the cost price of the trousers = 100x
The cost price of the shirt = 115x
Hence, Option C is correct.
The cost price of the shirt = 115x
Hence, Option C is correct.
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Question Description
The cost price of a shirt and a pair of trousers is Rs. 10,750. If the shirt costs 15% more than the trousers, find the cost price of the shirt.a)Rs. 5,500b)Rs. 5,625c)Rs. 5,750d)Rs. 6,000Correct answer is option 'C'. Can you explain this answer? for SSC CGL 2026 is part of SSC CGL preparation. The Question and answers have been prepared according to the SSC CGL exam syllabus. Information about The cost price of a shirt and a pair of trousers is Rs. 10,750. If the shirt costs 15% more than the trousers, find the cost price of the shirt.a)Rs. 5,500b)Rs. 5,625c)Rs. 5,750d)Rs. 6,000Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for SSC CGL 2026 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The cost price of a shirt and a pair of trousers is Rs. 10,750. If the shirt costs 15% more than the trousers, find the cost price of the shirt.a)Rs. 5,500b)Rs. 5,625c)Rs. 5,750d)Rs. 6,000Correct answer is option 'C'. Can you explain this answer?.
The cost price of a shirt and a pair of trousers is Rs. 10,750. If the shirt costs 15% more than the trousers, find the cost price of the shirt.a)Rs. 5,500b)Rs. 5,625c)Rs. 5,750d)Rs. 6,000Correct answer is option 'C'. Can you explain this answer? for SSC CGL 2026 is part of SSC CGL preparation. The Question and answers have been prepared according to the SSC CGL exam syllabus. Information about The cost price of a shirt and a pair of trousers is Rs. 10,750. If the shirt costs 15% more than the trousers, find the cost price of the shirt.a)Rs. 5,500b)Rs. 5,625c)Rs. 5,750d)Rs. 6,000Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for SSC CGL 2026 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The cost price of a shirt and a pair of trousers is Rs. 10,750. If the shirt costs 15% more than the trousers, find the cost price of the shirt.a)Rs. 5,500b)Rs. 5,625c)Rs. 5,750d)Rs. 6,000Correct answer is option 'C'. Can you explain this answer?.
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