## Monday, May 25, 2009

### [Mathematic Form 1] Discount

A discount is a reduction in the original selling price.

Discount = Original selling price - New selling price

Percentage discount = (Discount / Original selling price) x 100%

Eg:
a) A shirt was sold at RM45 during sale. If the original price of the shirt was RM60, calculate the discount and the percentage discount.

Discount = Original selling price - New selling price
= RM60 - RM45
= RM15

Percentage discount = (Discount / Original selling price) x 100%
= (RM15 / RM60) x 100%
= 25%

Hence, the percentage discount is 25%

b) During a sale, a handbag is sold at a discount of 30%. What is the new selling price if the original price is RM80?

Percentage discount = (Discount / Original selling price) x 100%
30% = (Discount / RM80) x 100%
Discount = (Percentage discount / 100%) x Original selling price
Discount = (30% / 100%) x RM80 = 0.3 x RM80 = RM24

Discount = Original selling price - New selling price
New selling price = Original selling price - Discount = RM80 - RM24
New selling price = RM56

c) A dress with an original price of RM150 was sold at RM90 during a sale. What is the percentage discount offered?

Original selling price = RM150
New selling price = RM90
Discount = Original selling price - New selling price
Discount = RM150 - RM90 = RM60

Discount = (Percentage of discount / 100%) x Original selling price
Percentage discount = (Discount / Original selling price) x 100%
Percentage discount = (RM60 / RM150) x 100% = 0.4 x 100%
Percentage discount = 40%

Hence, the percentage discount offered = 40%

d) Nina saved RM105 when she bought a dining table at a discount of 15%. Calculate the original price of the table.

Discount = RM105
Percentage discount = 15%

Percentage discount = (Discount / Original selling price) x 100%
Original selling price = (Discount / Percentage discount) x 100%
Original selling price = (RM105 / 15%) x 100% = 7 x 100 = RM700

Hence, the original price of the table is RM700.