Question

A shopkeeper mixes two varieties of rice costing 8 per kg and 12 per kg in the ratio 1:3. If the cost of the second variety drops to 11.50 per kg, in what ratio should he now mix the two so that the cost of the mixture remains unchanged?(A) 2:3(B) 1:6 (C) 3:5(D) 2:5​

Answer 1

Answer:

(B) 1:6

Explanation:

Cost of first variety

= 1x(8) + 3x(12)

= 8x + 36x

= 44x

For the second variety

a(8) + b(11.5) = 44x

a=1 , b=6 satisfies this equation

Hence,

The answer is (B)1:6