The cost of 1 kg. of cashew nut is Tk. 500 and the cost of 1 kg of pistachio nut is Tk 580 . At what proportion should they be mixed so that the resultant mixture costs Tk.550 per kg?

The cost of 1 kg. of cashew nut is Tk. 500 and the cost of 1 kg of pistachio nut is Tk 580 . At what proportion should they be mixed so that the resultant mixture costs Tk.550 per kg?

A 2:3

B 3:4

C 3:5

D 4:5

Solution

Correct Answer: Option C

let 1 kg mixture

cashew=x kg

pistacio (1-x) kg

500x+(1-x) 580=550

x=3/8

1-x=1-3/8=5/8

3/8:5/8= 3:5