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Q.

The cost of 2kg of apples and 1 kg of grapes on day was found to be ₹ 160 . After a month, the cost of  4 kg of apples and 2 kg of grapes is ₹ 300. Above situation can be represented algebraically as,


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a

x+2 y=300 ; 2 x+4 y=160

b

x+2 y=100 ; 2 x+4 y=300

c

2 y+x=160 ; 2 x+4 y=150

d

2 x+y=160 ; 4 x+2 y=300 

answer is D.

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Detailed Solution

Given that,
The cost of 2 kg of apples and 1 kg of grapes on day was found to be ₹ 160.
After a month, the cost of 4 kg of apples and 2 kg of grapes is ₹ 300.
Let the x represent the rate of apples and y represents the rate of grapes.
So, the total rate can be the multiplication of rate and quantity.
Therefore, according to the question,
2x+y=160 4x+2y=300  
Hence, option 4 is correct.
 
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