On a certain item,a shopkeeper gives 10% discount to the customer and still he gets 8% profit. If the marked price of the item is rupees 6000 then what is the cost price of the item for the shopkeeper
Answers
Given data : On a certain item,a shopkeeper gives 10% discount to the customer and still he gets 8% profit. If the marked price of the item is Rs 6000.
To find : what is the cost price of the item of the shopkeeper ?
Solution : Now, by formula of discount%.
⟹ discount% = ( discount/marked price ) * 100
⟹ 10 = ( discount/6000 ) * 100
⟹ 10/100 = discount/6000
⟹ 0.1 = discount/6000
⟹ discount = 0.1 * 6000
⟹ discount = Rs 600
Now,
⟹ discount = marked price - selling price
⟹ 600 = 6000 - selling price
⟹ selling price = 6000 - 600
⟹ selling price = Rs 5400
Now,
⟹ Cost price = ( 100 * selling price )/( 100 + profit% )
⟹ Cost price = ( 100 * 5400 )/( 100 + 8 )
⟹ Cost price = 540000/108
⟹ Cost price = Rs 5000
Answer : Hence cost price of the item is Rs 5000.
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Answer:
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