In what ratio must a grocer mix two varieties of pulses costing ₹60 and ₹75 per kg, respectively, so as to get a mixture worth ₹65 per kg?

Correct option is B

Given:

Cost of Pulse P1 = ₹60

Cost of Pulse P2 = ₹75

Mixture Cost = ₹65.

Formula and Concept Used:

Ratio concept = x : y

Solution:

Let the ratio of mixing two varieties of pulses = x : y

So total value of P1 = 60x

Total value of P2 = 75y

Now,

As per the question,

60x + 75y = 65(x + y)

60x + 75y = 65x + 65y

60x – 65y = 65y – 75y

-5x = -10

x : y = 2 : 1

Alternate Solution:

$$\begin{array}{c}\quad \quad \text{Cost of Pulse 1} \quad \quad \quad \text{Cost of Pulse 2} \\\quad \quad 60\quad \quad \quad \quad \quad 75\\\quad \quad \diagdown \quad \quad \quad \quad \diagup\\ \quad \quad \quad \quad \quad 65 \quad \quad \quad \\\quad \quad \diagup \quad \quad \quad \quad \diagdown\\\quad \quad 10 \quad \quad \quad \quad \quad 5 \\\quad \quad \text{Quantity of Pulse 1} \quad \quad \quad \text{Quantity of Pulse 2} \\\end{array}$$

So, Ratio is 2: 1