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If 6kg of sugar and 5kg of tea together cost Rs.209 and 4kg of sugar and 3kg of tea together cost Rs.131, then the cost of 1kg sugar and 1kg of tea respectively is _________.

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Rs.11 and Rs.25

Rs.12 and Rs.20

Rs.14 and Rs.20

Rs.14 and Rs.25

answer is D.

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Detailed Solution

Let 1kg sugar be denoted by x and 1kg tea be denoted by y. So, we can write the given data in form of equation as:

… (1)

… (2)
The equation (2) becomes,

… (3)
Substitute the above equation in the equation (1), we get

Substitute the value in the equation (3), we get
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Therefore, the cost of 1 kg sugar is Rs. 14, and 1 kg tea is Rs. 25.
Hence, the correct option is 4.

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