Question

sell price - 5400₹ percentage - 8% find Cost price and profit​

Answer 1

cp =5000

CP= SP × 100/100+GAIN%

Answer 2

Answer:

The cost price is Rs. $5869.5$ and profit is Rs. $469.5$.              

Step-by-step explanation:

Given : Selling price = Rs. $5400$

          Percentage profit = $8$%

To find : Cost price =?

           Profit = ?

Solution :

• It is given that Selling price = Rs. $5400$

          Percentage profit = $8$%

• We have to find the Cost price and profit.
• Let $x$ be the cost price.
• Now, according to given condition, the equation becomes

               $x-8$% of $x=5400$

              ∴ $x-\frac{8}{100} *x=5400$

                   ∴ $x-\frac{8x}{100} =5400$

• By cross multiplication, we get

                     ∴ $\frac{100x-8x}{100} =5400$

• Transpose $100$ to other side, we get

                       ∴ $92x=5400*100$

                        ∴ $92x=540000$

• Transpose $92$ to other side, we get

                          ∴ $x=\frac{540000}{92}$

                           ∴ $x=5869.5$

• ∴ The cost price is Rs. $5869.5$

• Now,

     Profit = Cost price - Selling price

              = $5869.5-5400$

              = $469.5$

• ∴ The profit is Rs. $469.5$.
• ∴ The cost price is Rs. $5869.5$ and profit is Rs. $469.5$.