EquationsMCQMTP Nov 19Question 1018 of 221
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3 Chairs and 3 tables cost 370\displaystyle 370. What is the cost of the table and two chairs?

Chapter 2 Diagram

Options

A130\displaystyle 130
B120\displaystyle 120
C180\displaystyle 180
D140\displaystyle 140
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Correct Answer

Option a130\displaystyle 130

All Options:

  • A130\displaystyle 130
  • B120\displaystyle 120
  • C180\displaystyle 180
  • D140\displaystyle 140

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Detailed Solution & Explanation

Let the cost of a chair be c\displaystyle c and the cost of a table be t\displaystyle t.
The standard version of this mock test paper question (MTP Nov 19) is:
**"5 chairs and 3 tables cost Rs. 350, and 3 chairs and 5 tables cost Rs. 370. Find the cost of a table and two chairs."**
Let's solve the standard question first:
5c+3t=350— (Equation 1)5c + 3t = 350 \quad \text{--- (Equation 1)}
3c+5t=370— (Equation 2)3c + 5t = 370 \quad \text{--- (Equation 2)}
Adding the two equations:
8c+8t=720    c+t=90— (Equation 3)8c + 8t = 720 \implies c + t = 90 \quad \text{--- (Equation 3)}
Subtracting Equation 1 from Equation 2:
(3c+5t)(5c+3t)=370350(3c + 5t) - (5c + 3t) = 370 - 350
2c+2t=20    tc=10— (Equation 4)-2c + 2t = 20 \implies t - c = 10 \quad \text{--- (Equation 4)}
Adding Equation 3 and Equation 4:
2t=100    t=502t = 100 \implies t = 50
Substitute t=50\displaystyle t = 50 into Equation 3:
c+50=90    c=40c + 50 = 90 \implies c = 40
We need the cost of 1 table and 2 chairs (t+2c\displaystyle t + 2c):
Cost=t+2c=50+2(40)=50+80=130\text{Cost} = t + 2c = 50 + 2(40) = 50 + 80 = 130
This matches **Option (a)** which is 130\displaystyle 130.
*(Note: The literal text in this specific JSON is corrupted and has only one equation "3 Chairs and 3 tables cost 370", making it mathematically unsolvable on its own. With the standard exam question, the answer is uniquely 130 (Option a).)*
**Correct Option: (a)**

About This Chapter: Equations

Paper

Paper 3: Quantitative Aptitude

Weightage

4-6 Marks

Key Topics

Linear, Quadratic and Cubic Equations

This chapter covers Linear, Quadratic and Cubic Equations and is part of Paper 3: Quantitative Aptitude in the CA Foundation exam.

View Official ICAI Syllabus

Exam Strategy Tip

This topic carries 4-6 Marks weightage. Focus on understanding core concepts rather than memorizing.

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