A knife is twice the cost of a spoon. 8 spoons and 12 knives cost?46.08. Work out the cost of 1 knife.

Let Rs. x and Rs. y be the cost of a knife and a spoon respectively.

From question,

x = 2y - - - (1)

and,

12x + 8y = 46.08

=> 12*2y + 8y = 46.08

=> 24y + 8y = 46.08

=> 32y = 46.08

=> y = 46.08/32

=> y = 1.44

putting y = 1.44 in (1)

=> x = 2*1.44

=> x = 2.88

Therefore, cost of a knife is Rs 2.88