SSC CHSL 12 Oct 2020 Shift 2 Paper

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Question : 55 of 100

Marks: +1, -0

On selling a bike for ₹ 2500 a seller incurs a loss of

20 \%

. What price would have caused him to lose 30%?

₹ $2186.5$
₹ $2187.5$
₹ $2188.5$
₹ $2185.5$

Solution:

SP of bike

=₹ 2500

Loss

(\I) \%=20 \%

{\CP}={{\SP}}/{(100-\I)} \×100

={2500}/{(100-20)} \×100

\CP={2500}/{80} \×100

{\CP}=₹ 3125

Now, new loss

(\I) \%=30 \%

New SP of bike

={\CP} \×({100-\I}/{100})

=3125 \×({100-30}/{100})

=₹ {3125 \×70}/{100}

=₹ 2187.5

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