Question

a shopkeeper marks his article at 20% above the cost price and allows 10% discount on selling. what profit % does he marks

Answer 1

Solutions :-

Let the cost price of article be ₹ 100

Marked price = 100 + 20% of 100
= 100 + 20 = 120


Find the Selling price of article :-

S.P = M.P - discount % of M.P
= 120 - 10% of 120
= 120 - 12
= 108


We have,
Cost Price = ₹ 100
Selling price = ₹ 108


Selling price is greater than the Cost price. Therefore, Profit.

Profit = S.P - C.P
= ₹ (108 - 100)
= ₹ 8


Profit % = (profit × 100)/C.P %
= (8 × 100)/100 %
= 8 %


Hence,
Profit percent = 8%

Answer 2

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Dear ,

Your Answer is ; 8%

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Step by Step Explanation ;-
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• Let the Article's Cost Price (CP) be ₹ 200
• Marked Price = 200 + 20% of 200
=> 200 + 40 = ₹240

Now ,
• Funding the Selling Price ( SP ) of the article ;-
=> 240 - 10% of 240
=> 240 - 24
=> ₹ 216

So , Now we have ;-
• Cost Price ( CP ) = ₹ 200
• Selling Price ( SP ) = ₹216

Here , it can be very easily identified that the SP is greater than CP which shows gain.

So ,
• Gain = SP - CP
=> ₹ ( 216 - 200 )
=> ₹ 16

Therefore
• 16 being the 8% of 200 , the gain % is 8%.

__________________________

- Regards
@ItsDmohit