A travel agent is proposing a tour in which a group will travel in a plane of capacity
150
. The fare will be ₹
1400
per person if
120
or fewer people go on the tour, but the fare for each person will be decreased by ₹
10
for each person in excess of
120
, if the total number of traveler exceeds
120
. For example, if there are
125
traveler, then the fare for each will be ₹
1400
- ₹
10
(
5
)
= ₹
1350
. Let
x
represents the number of people going on the tour. What will be the value of
x
for which the income of the travel agent will be maximum from this tour?
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