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Q.

The cost of 2 kg of apples and 1 kg of grapes on a day was found to be Rs. 160. After a month, the cost of 4 kg of apples and 2 kg of grapes is Rs. 300. Represent the situation algebraically:

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a

b

c

d

None of these

answer is A.

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Detailed Solution

Concept:
According to the problem, the cost of 2 kg of apples and 1 kg of grapes per day
must inevitably be rupees. 160. The price of 4 kg of apples and 2 kg of grapes after a month is 300 rupees. This particular situation needs to be represented algebraically and geometrically.
Suppose the cost of 1 kg of apples is "x" and the cost of 1 kg of grapes is "y". He said the cost of 2 kg of apples and 1 kg of grapes in a day would inevitably be rupees. 160 Therefore, we get

--- (1) .
We also know that the cost of 4 kg of apples and 2 kg of grapes is 300 rupees. Therefore,

--- (2) .
To find the cost of apples and grapes, you need to solve the simultaneous linear equations shown below.

--- (3) .

--- (4) .
Find the point in equation (3) . Therefore,

.

Find the point in equation (4) . Therefore
Question Image

Let's graph the simultaneous linear equations using the obtained x-coordinate and y-coordinate
Question Image

Question Image

So you can see that the two linear equations represent parallel lines. This shows that there isn't a workable answer.
Hence, the correct option is 1.

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