Page289
Chapter 5
5.22
Example 108:
The income of
X
is 25% more than that of
income of
Y
. Calculate by how much percent, the income
of
Y
is less than that of income of
X
?
(a) 18%
(b) 20%
(c) 25%
(d) 28%
Solution:
In comparison questions, the quantity with
which comparison is being done should be taken as
denominator (or base).
Let the income of
Y
=
`
100
The income of
X
=
`
100
+
25
=
`
125
For sake of comparison, we have to make income of
X
as
equal to
`
100.
If income of
X
is 100, then income of
Y
=
100 × 100
125
=
`
80
Thus, the difference
=
100 – 80
=
`
20
(a) is the correct answer.
Alternatively, ...

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