Ten chairs and six tables together cost ₹5,140; three chairs and two tables together cost ₹1,635. The cost of 1 chair and 1 table is:
Show answer & explanation
Correct answer: D
Explanation
The correct answer is option 4 i.e. ₹700.
According to the given question,
10C + 6T = 5140
⇒ 5C + 3T = 2570 ....(i)
Also, 3C + 2T = 1635 ...(ii)
Multipying equation (i) by 2 and equation (ii) by 3,
⇒ 10C + 6T = 5140 ...(iii)
⇒ 9C + 6T = 4905 ....(iv)
Subtracting equation (iv) from equation (iii),
⇒ C = 235
Substituting value of C in equation (ii),
⇒ 3(235) + 2T = 1635
⇒ 2T = 1635 - 705
⇒ T = 930/2
⇒ T = 465
Now, C + T = 465 + 235
⇒ 700