If of almonds costs as much as of walnuts and the cost of of almonds and 16 of walnuts is Rs 1080 . The cost of almonds per is.

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Rs. 160

Rs. 150

Rs. 120

Rs. 140

answer is C.

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Detailed Solution

Concept- In order to answer this question, we will take into account the price of 1 kg of almonds as variable x and the price of 1 kg of walnuts as variable y. We will then build 2 linear equations with 2 variables and use the substitution method to determine the price of almonds, which is variable y.
We must determine the price of almonds in thisQuestion given that 2 kg of almonds cost the same as 8 kg of walnuts and that 5 kg of almonds and 16 kg of walnuts cost Rs 1080.
Let's assume that 1 kg of almonds costs Rs. x and 1 kg of walnuts costs Rs. y in order to answer this issue. Therefore, we can write, in accordance with the conditions stated in the question:

We have also been given that the cost of

of almonds and

of walnuts is Rs 1080 . So, we can write it as,

Now, from equation (i), we get

so, we will put this value of

in equation (ii). So, we will get,

Now, we will simplify it further to get the answer.

Now, we know that like term add, so we get,

Now, we will divide the whole equation by 9 , so we get,

The cost price of 1 kilogramme of almonds is therefore Rs. 120.
Hence, the correct answer is option 3.
Syllabus: CBSE

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