A) 70
B) 80
C) 100
D) 125
Correct Answer: D
Solution :
If cost price be Rs. a: and selling price be Rs. y, then Profit \[%=\left( \frac{y-x}{x} \right)\times 100\] \[=\left( \frac{y}{x}-1 \right)\times 100\] Case II. Selling price \[=Rs.\frac{2y}{5}\] Loss \[=Rs.\,\left( x-\frac{2y}{5} \right)\] \[\therefore \] \[\frac{x-\frac{2y}{5}}{x}\times 100=10\] \[\Rightarrow \] \[10x-4y=x\] \[\Rightarrow \] \[9x=4y\] \[\Rightarrow \] \[\frac{y}{x}=\frac{9}{4}\] \[\therefore \] Initial profit percent \[=\left( \frac{9}{4}-1 \right)\times 100=125\] [Quicker Approach] From the given alternative . Gain =125% If C.P. =Rs. 100 then Original S.P. = Rs. 225 New S.P. = Rs. 90 Loss% = 10
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