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
