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UPSC 2016 CDS II Math Paper
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© examsnet.com
Question : 19
Total: 100
A candidate scoring x% marks in an examination fails by
a
marks, while another candidate who scores marks gets
b
marks more than the minimum required pass marks. What is the maximum marks for the examination ?
[2016 CDS-II]
100
(
a
+
b
)
x
−
y
100
(
a
−
b
)
x
+
y
100
(
a
+
b
)
y
−
x
100
(
a
−
b
)
x
−
y
Validate
Solution:
Let the maximum marks for the examination be M and the passing marks for the examination be P.
∴
x
100
×
M
+
a
=
P
....(1)
Also,
y
100
×
M
−
b
=
P
.
...(2)
From (1) and (2), we have
x
100
×
M
+
a
=
y
100
×
M
−
b
⇒
(
y
−
x
100
)
×
M
=
a
+
b
⇒
M
=
100
(
a
+
b
)
(
y
−
x
)
© examsnet.com
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