Question

In what ratio must a grocer mix two varieties of pulses costing Rs. 15 and Rs. 20 per kg respectively so as to get a mixture worth Rs. 16.50 per kg?

• A. 3:7
• B. 5:7
• C. 7:3
• D. 7:5

Answer 1

The correct option is C

7:3

Let grocer mixes x kg of pulse costing Rs.15 and y kg of pulse costing Rs. 20 per kg.
Total weight of mixture = (x+y) kg
Total cost of mixture =(15x+20y)
According to ques, worth of mixture is Rs. 16.5 per kg.
So, 16.5(x+y)= 15x+20y
or, 16.5x+16.5y=15x+20y
or, 16.5x-15x=20y-16.5y
or, 1.5x=3.5y
or, $\frac{x}{y}=\frac{3.5}{1.5}=\frac{7}{3}$
So, (c) is the correct answer.