UPSC CDS 2 2020 Math Paper

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