Question

a shopkeeper sold sarees at rs 266 each after giving discount 5%on Labelled price . had he not given the discount .he would have earned a profut of 12 % on the cost price . what was the cost price of each saree?​

Answer 1

Cost Price of each saree = Rs.250

Step-by-step explanation:

Given,

Selling Price of Saree = Rs.266

Discount = 5%

Labelled Price - Selling Price = Discount

Let Labelled Price = Rs.x

We know that ,

Discount % = $\frac{Discount}{Labelled\ Price}\times 100$

5= $\frac{Labelled\ Price - Selling\ Price}{Labelled\ Price}\times 100$

5 = $\frac{Labelled\ Price- 266}{Labelled\ Price}\times 100$

5 = $\frac{x-266}{x}\times 100$

5x = 100x - 26600

95x = 26600

x = Rs.280

If discount is not given then Labelled Price = Selling Price

and Profit of 12% of Cost Price is given.

Selling Price = (100+12)% of Cost Price

 Rs.280        = 112% of Cost Price

  $\frac{280}{112}\times 100$ = 100% of Cost Price

Cost Price = Rs.250

Hence ,Cost Price of each saree = Rs.250