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Question

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

A
Rs. 11 and Rs. 25
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B
Rs. 12 and Rs. 20
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C
Rs. 14 and Rs. 20
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D
Rs. 14 and Rs. 25
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Solution

The correct option is A Rs. 14 and Rs. 25
Let the price of sugar be x and tea be y.
Then,
6x+5y=209....(1)
4x+3y=131....(2)
Multiply equation (1) by 4 and equation (2) by 6 and then subtract:
(6x+5y=209)4
(4x+3y=131)6
.............................................
24x+20y24x18y=209×4131×6
.............................................
2y=836786
2y=50
y=25
Therefore, x=14
Price of sugar is Rs.14 and price of tea is Rs.25 .

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