2 tables and 3 chairs together cost Rs.10000 whereas 3 table and 2 chair costs Rs.12500. Find the cost of a table and a chair together.
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Let table be x and chair be y.
2x + 3y = 10000 ——— ( 1 )
3x + 2y = 12500 ——— ( 2 )
[+] ________________________
5x + 5y = 22500
→ 5(x + y) = 22500
→ x + y = 4500 ——— ( 3 )
2x + 3y = 10000 ——— ( 1 )
3x + 2y = 12500 ——— ( 2 )
[-] ______________________
-x + y = -2500
→ y - x = -2500 ——— ( 4 )
Adding (3) and (4)
x + y = 4500
-x + y = -2500
______________
2y = 2000
→ y = 1000
Substitute value of y in equation 1,
x + y = 4500
→ x + 1000 = 4500
→ x = 3500
∴ Cost of table = ₹3500
Cost of chair = ₹1000
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