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Decimals and Fractions Practice Test 4
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© examsnet.com
Question : 23
Total: 40
If the numerator of a fraction is increased by 200% and the denominator of the fraction is increased by 250%, the resultant fraction is
3
14
. What is the original fraction?
1
2
1
6
2
3
Other than those given as options
Validate
Solution:
Let the original fraction
=
x
y
.
The numerator of a fraction is increased by 200%.
So,
x
+
x
of
200
%
x
+
x
×
200
100
=
3
x
The denominator of fraction is increased by 250%.
y + y of 250 %
y
+
y
×
250
100
=
7
y
2
Original fraction
=
3
x
7
y
2
=
3
14
⇒
3
x
×
2
7
y
=
3
14
⇒
84
x
=
21
y
⇒
x
y
=
1
4
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