Wheat worth Rs. 80 per kg and Rs. 50 per kg is mixed with a third variety in the ratio 1 : 2 : 3. If the mixture is worth Rs. 75 per kg, then the price of the third variety per kg will be equal to:

Solution (By Examveda Team)

$$\eqalign{ & {\text{Let third variety}} = x \cr & 80\,\,:\,\,50\,\,:\,\,x \cr & \,\,1\,\,\,:\,\,\,\,2\,\,\,:\,\,\,3 \cr & \overline {\,80 + 100 + 3x\,} = \left( {3 + 2 + 1} \right) \times 75 \cr & 180 + 3x = 6 \times 75 \cr & 3x = 270 \cr & x = 90{\text{ per kg}} \cr} $$