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Question

A person bought 5 tickers from a station P to a station Q and 10 tickets from the station P to a station R He paid Rs 350 If the sum of a ticket from P to Q and a ticket from P to R is Rs 42 then what is the fare from P to Q?

A
Rs 12
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B
Rs 14
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C
Rs 16
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D
Rs 18
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Solution

The correct option is B Rs 14
Let the person purchased Rs x tickets from P to Q and Rs y tickets from P to R
Then x+y = 42...................(1)
And 5x+10y=350................(2)
Multiply (1) by 10
10x+10y=420....................(3)
substructure (3) to (2)
Then 5x=70
Or x=14
Then rate of ticket P to Q is Rs 14

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