5 chairs and 4 tables together cost Rs.5600, while 4 chairs and 3 tables together cost Rs.4340. Find the cost of each chair and that of each table.
5 chairs and 4 tables together cost Rs.5600, while 4 chairs and 3 tables together cost Rs.4340. Find the cost of each chair and that of each table.
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Let the cost of a chair be Rs.x and that of a table be Rs.y, then
5x + 4y = 5600 ……..(i)
4x + 3y = 4340 ……..(ii)
Multiplying (i) by 3 and (ii) by 4, we get
15x – 16x = 16800 – 17360
⇒ -x = -560
⇒ x = 560
Substituting x = 560 in (i), we have
5 × 560 + 4y = 5600
⇒ 4y = 5600 – 2800
⇒ y = 2800/4 = 700
Hence, the cost of a chair and that a table are respectively Rs.560 and Rs.700.
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