Question

a shopkeeper offers 10%off - season Discount to the customers and still makes a profit of 26% . What is the cost price for the shopkeeper on a pair of shoes marked at Rs. 1120.​

Answer 1

Answer:

Marked Price − Discount =1120−112=1008. Thus the cost price is Rs. 800.

Step-by-step explanation:

According to the question, the marked price of the pair of shoes is Rs. 1120. And the shopkeeper is offering a 10% off-season discount. So, discount enjoyed by customer will be:

⇒ Discount =10% of 1120=10100×1120=112.

Thus, the selling price of the shopkeeper will be:

⇒ S.P. = Marked Price − Discount =1120−112=1008.

It is given that the shopkeeper makes the profit of 26%. Let the cost price (i.e. C.P.) of the pair of shoes is Rs. x. Then profit will be:

⇒ Profit = S.P. − C.P. =1120−x

We know that:

⇒Profit(% )=ProfitC.P.×100%

Using above formula, we have:

⇒26%=1008−xx×100,⇒26x=100800−100x,⇒126x=100800,⇒x=100800126,⇒x=800

Thus the cost price is Rs. 800.

Note: The cost price is always calculated over selling price while the discount is calculated over marked price.