Question

A shopkeeper marks his goods at 40% above the cost price and offers a discount of 20% what is his gain percent?


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Answer 1

Step-by-step explanation:

Let's assume cost price = X Rs

Since marked price is 40% above cost price.

∴MP=CP+40% of CP=X+

100

40X

=

5

7X

Rs

Discount =40%

∴SP=MP−Discount

⇒SP=

5

7X

−40% of

5

7X

⇒SP=

5

7X

−

100

40

×

5

7X

⇒SP=

5

7X

−

25

14X

=

25

21X

Here SP < CP, so there will be a loss.

∴Loss=CP−SP=X−

25

21X

=

25

4X

Rs

⇒Loss percentage=

CP

loss×100

=

X

25

4X

×100

=16%

Answer 2

Step-by-step explanation:

let the price of the goods be €100

so price marked =€(100×40÷100 +100)

so marked price = €140

so discount = € (140 - 140×20÷100)

so discount = €28

so present price = €112 as €(140-28)

so gain percent = ( gain/ original price ×100)%

so gain percent = {(112-100)/100 ×100}%

so gain percent = 12%