Finding Discounts

Suppose I buy a dress at 10% discount. The price marked on it Rs 1000. How much did I pay him?

Here, Rs 1000 is the marked price

Marked Price = Rs 1000

Discount = 10%

Let’s find the discount

Discount = 10% × Marked Price

= 10% × 1000

= 10/100 × 1000

= 1/10 × 1000

= 100

So, Discount = Rs 100

Now,

  Amount Paid to him = Marked Price − Discount

   = 1000 − 100

   = 900

So, I paid Rs 900 to him

Let’s say, Marked price is Rs 1000 and I paid Rs 900. What is the discount percentage?

Here,

  Marked price = Rs 1000

  Amount paid = Rs 900

Discount = Marked price − Amount paid

= Rs 1000 − 900

= Rs 100

Discount percentage = Discount/(Marked price) × 100%

   = 100/1000 × 100%

   = 1/10 × 100%

   = 10%

So, discount is 10%

After a discount of 10%, a dress is bought in Rs 900. What is its marked price?

Discount percentage = 10%

Amount paid = Rs 900

Marked price = ?

Discount = Marked Price – Amount Paid

Discount  = Marked Price – 900

Now, we know that

  Discount percentage = Discount/(Marked Price )  × 100

    10 = (Marked Price - 900)/(Marked Price)  × 100

  10 × Marked Price = (Marked Price – 900) × 100

  10  × Marked Price = 100 × Marked Price – 900 × 100

  900 × 100 = 100 × Marked Price – 10 × Marked Price

  900 × 100 = 90 × Marked Price

  (900 × 100)/90 = Marked Price

  10 × 100 = Marked price

  1000 = Marked Price

  Marked Price = 1000

So, Marked Price = Rs 1000