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
• B. Rs 14
• C. Rs 16
• D. Rs 18

Answer 1

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