Question

a shopkeeper marks the price of an article 40% above its cost price and gives the customer a discount of 15% so that he gains rs 76 on the article , find the marked price of the article​

Answer 1

Answer:

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%