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Q1. 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 kg?

3 : 7

5 : 7

7 : 3

7 : 5

Accepted Answer

Answer : 7 : 3

Let's denote the ratio in which the two varieties of pulses are mixed as x:y, where x is the ratio for the Rs. 15 per kg pulses and y is the ratio for the Rs. 20 per kg pulses.

Given:
- Price of the first variety of pulses = Rs. 15 per kg
- Price of the second variety of pulses = Rs. 20 per kg
- Price of the mixture = Rs. 16.50 per kg

To find the ratio x:y, we can set up the following equation based on the weighted average:

Now, let's solve for x and y :

15x + 20y = 16.50(x + y)
15x + 20y = 16.50x + 16.50y
20y - 16.50y = 16.50x - 15x
3.50y = 1.50x
y/x = 1.50/3.50

So, the ratio x:y in which the two varieties of pulses must be mixed is 3.5:1.5 or simplifying it, 7:3.
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