In what proportion may 3 kinds of cashew nuts worth Rs.327, Rs.329 and Rs.332 per kg be mixed to produce a mixture worth Rs.330/kg? Group of answer choices 1:1:1 1:2:3 Any of these 1:1:2
Question
In what proportion may 3 kinds of cashew nuts worth Rs.327, Rs.329 and Rs.332 per kg be mixed to produce a mixture worth Rs.330/kg?
Group of answer choices
1:1:1
1:2:3
Any of these
1:1:2
Solution
The price of the mixture is Rs.330/kg, which is between the prices of the three kinds of cashew nuts. This means that the cashew nuts worth Rs.327/kg and Rs.332/kg should be mixed in the same proportion to balance out their prices. The cashew nuts worth Rs.329/kg can be mixed in any proportion, since its price is very close to the price of the mixture.
So, one possible proportion to mix the three kinds of cashew nuts is 1:1:1. This means that equal amounts of each kind of cashew nuts should be mixed to produce the mixture.
However, other proportions may also work. For example, if we mix 2 parts of the cashew nuts worth Rs.327/kg with 1 part of the cashew nuts worth Rs.332/kg, the average price will be (2327 + 1332)/3 = Rs.329/kg. Then, we can add any amount of the cashew nuts worth Rs.329/kg to bring the average price to Rs.330/kg.
So, the correct answer is "Any of these".
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