Wheat worth Rs. 80 per kg and Rs. 50 per kg is mixed with a third variety in th eratio 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 :
Answer & explanation
Correct answer: option 4
Let the price of third variety Rs. x per kg.
Ration of 1st, 2nd and 3rd variety = 1 : 2 : 3,
⇒ Total quantity of the mixture = (1 + 2 + 3)kg = 6 kg,
⇒ Total amount of the mixture = 1 x Rs. 80 + 2 x Rs. 50 + 3 x Rs.x = 180 + 3x,
As the price of mixture per kg is 75,
⇒ \(\frac{180 + 3x}{6}\) = 75,
⇒ 180 + 3x = 450,
⇒ 3x = 270,
⇒ x = Rs. 90
Therefore the required value is Rs. 90/ kg.