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UPSC CDS 2 2020 Math Paper
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© examsnet.com
Question : 18
Total: 100
If a television set is sold at Rs. x, a loss of 28% would be incurred. If television is sold at y Rs, a profit of 12% would be incurred. What is the ratio of y to x?
41 : 9
31 : 9
23 : 9
14 : 9
Validate
Solution:
Let television is purchase at 100 Rs.
If television is sold at x Rs, a loss of 28% would be incurred.
We know that
loss
%
=
loss
×
100
C
.
P
.
⇒
28
=
100
−
x
100
×
100
⇒
28
=
100
−
x
⇒
x
=
100
−
28
=
72
If television is sold at y Rs, a profit of 12% would be incurred.
We know that profit
%
=
profit
×
100
C.P.
⇒
12
=
y
−
100
100
×
100
⇒
12
=
y
−
100
⇒
y
=
100
+
12
=
112
So,
y
x
=
112
72
=
14
9
© examsnet.com
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