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Question
By selling a sofa-set for Rs.2,500; the shopkeeper loses 20%. Find his loss percent or profit percent; if he sells the same sofa-set for Rs.3150.
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Solution
In the first condition:
S.P. of a Sofa-set = Rs.2500
Loss = 20%
∴ C.P. =`100/((100-"Loss"%))xx"S.P."`
`=100/((100-20))xx"Rs."2500`
= Rs. `100/80xx2500`
`= "Rs." (100xx2500)/80=(5xx2500)/4=5xx625`
= Rs.3125
In the second condition:
S.P. of the sofa-set = Rs.3150
C.P. of the sofa-set = Rs.3125
Gain = S.P. − C.P.
= Rs.3150 − Rs.3125 = Rs.25
Gain% =`"Gain"/"C.P."xx100`
`=25/3125xx100=(25xx100)/3125=100/125`
`=4/5%=0.8%`
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