Question 87

In a coffee estate there are two varieties of coffee. At what ratio must the two varieties of coffee be mixed together into one at ₹40 per kg and the other at ₹50 per kg? The cost of the mixture is ₹43 per kg.

Name: In a coffee estate there are two varieties of coffee. At what ratio must the two varieties of coffee be mixed together into one at ₹40 per kg and the other at ₹50 per kg? The cost of the mixture is ₹43 per kg.
Uploaded: 2026-01-18T17:43:25.085157+05:30
Duration: 2 min 34 s
Description: In a coffee estate there are two varieties of coffee. At what ratio must the two varieties of coffee be mixed together into one at ₹40 per kg and the other at ₹50 per kg? The cost of the mixture is ₹43 per kg.

Solution

Let the ratio in which the two varieties are mixed be a:b

Hence, $$\ \frac{40a+50b}{a+b}$$ = 43

$$\ 40a+50b=43a+43b$$

This gives us 7b = 3a or a:b = 7:3

The option has an error; this happened in the actual exam paper, so we can't change it.

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