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Sum

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%`

Concept: Concept of Discount

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