Ten chairs and six tables together cost Rs 6200 three chairs and two tables together cost Rs 1900 Th...........

Quantitative Aptitude (CDS) Simplification

Ten chairs and six tables together cost Rs.6200,three chairs and two tables together cost Rs.1900. The cost of 4 chairs and 5 tables is

Rs.3000

Rs.3300

Rs.3500

Rs.3800

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Explanation:

Let the cost of one chair =Rs x
Cost of one table = Rs y
According to equation
10x+ 6y = 6200 … … (i)
3x+ 2y = 1900 … … (ii)
9x + 6y = 5700 … … (iii)
On subtracting (iii) from (i) we get
10x + 6y = 6200
⇒ −9x + 6y = 5700
x = 500
x = ???? 500
From equation (i)
5000 + 6y = 6200
y = ???? 200
Cost of 4 chair and 5 table = 4x+ 5y
= 4×500 + 5×200=Rs. 3000