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Three chairs and two tables cost Rs. 1850. Five chairs and three tables cost Rs. 2850. Then the total cost of one chair and one table is –
  • a)
    Rs. 800
  • b)
    Rs. 850
  • c)
    Rs. 900
  • d)
    Rs. 950
Correct answer is option 'B'. Can you explain this answer?
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Understanding the Problem
We have two equations based on the information provided about chairs and tables:
1. Equation from the first statement:
- 3 chairs + 2 tables = Rs. 1850
- Let the cost of one chair be C and one table be T.
- This gives us the equation: 3C + 2T = 1850
2. Equation from the second statement:
- 5 chairs + 3 tables = Rs. 2850
- This gives us the equation: 5C + 3T = 2850
Solving the Equations
To find the values of C and T, we can use the method of elimination or substitution. Here, we will use elimination:
- From the first equation (3C + 2T = 1850), multiply everything by 3:
- 9C + 6T = 5550
- From the second equation (5C + 3T = 2850), multiply everything by 2:
- 10C + 6T = 5700
Now, we have two new equations:
1. 9C + 6T = 5550
2. 10C + 6T = 5700
Next, subtract the first equation from the second:
10C + 6T - (9C + 6T) = 5700 - 5550
C = 150
Now substitute C back into one of the original equations to find T:
3C + 2T = 1850
3(150) + 2T = 1850
450 + 2T = 1850
2T = 1400
T = 700
Calculating Total Cost
Now that we have the costs:
- Cost of one chair (C) = Rs. 150
- Cost of one table (T) = Rs. 700
The total cost of one chair and one table is:
C + T = 150 + 700 = Rs. 850
Conclusion
Thus, the total cost of one chair and one table is Rs. 850, which corresponds to option 'B'.
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Three chairs and two tables cost Rs. 1850. Five chairs and three tables cost Rs. 2850. Then the total cost of onechair and one table is –a)Rs. 800b)Rs. 850c)Rs. 900d)Rs. 950Correct answer is option 'B'. Can you explain this answer? for Class 10 2025 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about Three chairs and two tables cost Rs. 1850. Five chairs and three tables cost Rs. 2850. Then the total cost of onechair and one table is –a)Rs. 800b)Rs. 850c)Rs. 900d)Rs. 950Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Class 10 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Three chairs and two tables cost Rs. 1850. Five chairs and three tables cost Rs. 2850. Then the total cost of onechair and one table is –a)Rs. 800b)Rs. 850c)Rs. 900d)Rs. 950Correct answer is option 'B'. Can you explain this answer?.
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