SOLVING PROBLEMS ON DISCOUNT

Always the original price should be considered as 100%. Discount is reduction of money. 

If x% is the discount, the percentage of money after discount can be calculated using the formula

= 100% - Discount %

Discount percentage

= (Discount amount / Original price) x 100%

Look at the picture below. What is the value of each of the following.

Problem 1 :

Solution :

Original price of the dress = $239.96

Discount percentage = 25%

After discount :

Percentage of money to be paid = 100 - 25

= 75% of the original price

Price of the dress = 75% of 239.96

= 0.75(239.96)

= $179.97

Problem 2 :

Solution :

Original price of the dress = $239.96

Discount percentage = 25%

After discount :

Percentage of money to be paid = 100 - 25

= 75% of the original price

Price of the dress = 75% of 239.96

= 0.75(239.96)

= $179.97

Calculate the percentage discount on each of these items :

Problem 3 :

Solution :

Old price = 1523

New price = 1360

Difference in amount = 1523 - 1360

= 163

Discount in percentage = (163 / 1523) x 100%

= 0.107 x 100%

= 10.7%

So, the discount percentage is 10.7%.

Problem 4 :

Solution :

Old price = 586

New price = 527.40

Difference in amount = 527.40 - 586

= 58.6

Discount percentage = (58.6/527.40) x 100%

= 11.1%

Problem 5 :

A shop keeper gives 10% discount on all items. If discounted price of the radio is $1620, find the original price of the radio ?

Solution :

Discount percentage = 10%

Price after discount = $1620

Let x be the original price of the radio.

90% of x = 1620

0.90x = 1620

x = 1620/0.90

x = 1800

Problem 6 :

A shopkeeper buys 5 dinning tables for $55000. If he sells them for a profit of 20%, find the selling price of one dinning table ?

Solution :

Cost price of 5 dinning tables = $55000

Cost of one dinning table = 55000/5

= 11000

Profit of 20%.

Selling price = original price + profit %

= (100 + 20)%

Selling price of table = 120% of 11000

= 1.20(11000)

= 13200


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