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In what ratio must a grocer mix two varieties of rice costing Rs. 165 and Rs. 285 per kg, respectively, to get a mixture of rice worth Rs. 195 per kg?
Question

In what ratio must a grocer mix two varieties of rice costing Rs. 165 and Rs. 285 per kg, respectively, to get a mixture of rice worth Rs. 195 per kg?

A.

7 : 4

B.

3 : 1

C.

5 : 2

D.

9 : 5

Correct option is B

Given:

Cost of first variety of rice = ₹165/kg

Cost of second variety of rice = ₹285/kg

Desired price of mixture = ₹195/kg

Formula Used:

Use the rule of alligation:

Ratio = (CP2 - Mean Price) : (Mean Price - CP1)

Solution:

Ratio = (285 - 195) : (195 - 165)

= 90 : 30 = 3 : 1
The grocer must mix the two varieties of rice in the ratio 3 : 1

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