Q47 of 168 Page 7

A party of tourists booked a room in a hotel for Rs. 1200. Three of the members failed to pay. As a result, others had to pay Rs. 20 more (each). How many tourists were there in the party?

Amount for the booking of hotel = Rs. 1200


Let there be x tourists


When all the tourist paid money, each share = Rs.


When 3 members failed to pat, its Rs.


So, according to the question:




3600 = 20 × x(x – 3)


3600 = 20x2– 60x


20x2 – 60x – 3600 = 0


On simplifying further,


x2 – 3x – 180 = 0


x2 – 15x + 12x – 180 =0


x(x – 15) + 12(x – 15) = 0


Therefore, x = –12 or x = 15


The number of camels is 15. (As positive values are only considered)


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