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A shopkeeper marks his goods at 20% abov...

A shopkeeper marks his goods at 20% above the cost price and gives a discount of 10% on marked price. If his gain is Rs 48, find the cost price of good.

Text Solution

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Let cost price be X.
Marked price=` X+(20)/100 xx X=(6X)/5`
Gives a discount of 10% on marked price= `(10)/100 xx (6X)/5=(6X)/(50)`
selling price=`(6X)/5-(6X)/50=(54X)/(50)`
Gain=Rs.48= S.P- C.P=` (54X)/(50) -X=(4X)/(50)`
`(4X)/(50)=48`
`X=600`.
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