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Simplification - General Aptitude

Q1:

The price of 10 chairs is equal to that of 4 tables. The price of 15 chairs and 2 tables together is Rs. 4000. The total price of 12 chairs and 3 tables is:

A Rs. 3500

B Rs. 3750

C Rs. 3840

D Rs. 3900

ANS:D - Rs. 3900

Let the cost of a chair and that of a table be Rs. x and Rs. y respectively.

Then, 10x = 4y   or   y = 5 x.
2
 15x + 2y = 4000
 15x + 2 x 5 x = 4000
2
 20x = 4000  x = 200.
So, y = 5 x 200 = 500.
2
Hence, the cost of 12 chairs and 3 tables = 12x + 3y     = Rs. (2400 + 1500)     = Rs. 3900.