Question

Two varieties of sugar are mixed together in a certain ratio. The cost of the mixture per kg is Rs 0.50 less than that of the superior and Rs 0.75 more than the inferior variety. The ratio in which the superior and inferior varieties of sugar have been mixed is?

Answer 1

Answer:

The ratio in which the superior and the inferior varities of sugar have been mixed is 3 : 2

Step-by-step explanation:

Let A be the amount of Superior sugar and B be the amount of inferior sugar

Let the price of the mixture be x

then

Price of the Superior sugar = x + 0.5

Price of the Inferior sugar = x - 0.75

Now

A(x + 0.5) + B(x - 0.75) = (A + B)x

or Ax + 0.5A + Bx - 0.75B = Ax + Bx

or 0.5A = 0.75B

or A/B = 0.75/0.5 = 75/50 = 3/2

Therefore, the ratio in which the superior and the inferior varities of sugar have been mixed is 3 : 2