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UPSC 2013 CDS 2 Math Paper
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© examsnet.com
Question : 36
Total: 100
A bus starts with some passengers. At the first stop, one-fifth of the passengers get down and 40 passengers get in. At the second stop, half of the passengers get down and 30 get in. The number of passengers now is 70. The number of passengers with which the bus started was
[2013 CDS-II]
40
50
60
70
Validate
Solution:
Let the number of passengers with which the bus started be x. At the first stop
x
5
passengers get down and 40 get in.
Now, the number of passengers in the bus
=
4
x
5
+
40
At the second stop, number of passengers
=
4
x
5
+
40
−
2
x
5
−
20
+
30
=
2
x
5
+
50
2
x
5
+
50
=
70
⇒
x
=
50
© examsnet.com
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