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

Chapter 2 Diagram

Select Your Answer (Keyboard: A, B, C, D)
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Correct Answer

✅ Option a — $130$

All Options:

  • A$130$
  • B$120$
  • C$180$
  • D$140$

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 — (Equation 1)\displaystyle \text{--- (Equation 1)} 3c+5t=370— (Equation 2)3c + 5t = 370 \quad — (Equation 2)\displaystyle \text{--- (Equation 2)} Adding the two equations: 8c+8t=720  ⟹  c+t=90— (Equation 3)8c + 8t = 720 \implies c + t = 90 \quad — (Equation 3)\displaystyle \text{--- (Equation 3)} Subtracting Equation 1 from Equation 2: (3c+5t)−(5c+3t)=370−350(3c + 5t) - (5c + 3t) = 370 - 350 −2c+2t=20  ⟹  t−c=10— (Equation 4)-2c + 2t = 20 \implies t - c = 10 \quad — (Equation 4)\displaystyle \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=130Cost=t+2c=50+2\displaystyle \text{Cost} = t + 2c = 50 + 2(40) = 50 + 80 = 130 This matches **Option (a)** which is $130$. *(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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