Question

A shopkeeper marks his goods 12% higher then its original price then allows 12%discount. Find its profit or loss percentage?

Answer 1

Solution :-

Let the original price or the cost price of the goods be Rs. 100

As the shopkeeper marks his goods 12 % higher than its original price, then the marked price = 100 + (12 % of 100)

⇒ 100 + 12 = Rs. 112 

Marked price of the goods = Rs. 112

Discount given = 12 % on marked price

Amount of discount = (112*12)/100

⇒ 1344/100

⇒ Discount = Rs. 13.44

Now,
Selling price = Marked price - Discount

S.P. = 112 - 13.44

Selling price = Rs. 98.56

Now, 

Loss = Cost price - Selling price

⇒ 100 - 98.56

Loss = Rs. 1.44

Loss percentage = (Loss*100)/Cost price

⇒ (1.44*100)/100

Loss = 1.44 %

Answer.

Answer 2

Solution:
Let the cost price be  rs. 100

Shopkeeper marks the price which is 12% more than cost price.
Marked price =100+12%of 100
=(100+12)
MP=112 rs

Shopkeeper gives the discount of 12% on marked price.
Then the Discount=12%of 112
=12x112/100=13.44
So, Discount= Rs 13.44

Now, Selling Price=Marked price-Discount
SP=112-13.44=98.56 Rs.

loss=Cost price-selling price
=100-98.56=1.44 Rs

Loss percentage=(lossx100)/CP
=1.44x100/100=1.44% 

∴ The loss percentage is 1.44