The cost of 4 chairs and 3 tables is ₹2,100 and the cost of 5 chairs and 2 tables is ₹1,750. Find the cost (in ₹) of a chair.
Show answer & explanation
Correct answer: C
Explanation
The correct answer is option 3 i.e. ₹1400.
Given that
The cost of 4 chairs and 3 tables is ₹2,100
The cost of 5 chairs and 2 tables is ₹1,750
Let the cost of a chair and a table be C and T
According to the question
⇒ 4C + 3T = 2100 ......(1
⇒ 5C + 2T = 1750 ......(2
3 × Equation 1 - 2 × Equation 2
⇒ 12C - 10C = 6300 - 3500
⇒ 2C = 2800
⇒ C = 2800/2 = ₹1400