WORKSHEET ON DISCOUNT AND SALES TAX

1)  If marked price = ₹1700, selling price = ₹1540 then find the discount.

2)  If marked price = ₹990 and percentage of discount is 10, then find the selling price.

3)  If selling price = ₹900. Discount is 20%, then find the marked price.

4)  A shopkeeper decides to sell a certain item at a certain price. He tags the price on the item by increasing the decided price by 25%. While selling the item, he offers 20% discount. Find how many more or less percent he gets on the decided price.

5)  The marked price of a television is $18500. A dealer allows two successive discounts of 20% and 5%. For how much is the television available?

6)  A pair of shoes has a marked price of $160. However, the store is having a clearance sale, so a 28% discount offered.

a)  How much discount will be deducted ?

b)  What is the selling price of the shoes ?

c)  If a 12.5% sales tax must be paid on the selling price, what will be the final price paid by the customer ?

7)  Game consoles are bought by an electronics store owner for $120. They are marked up by 55% in order for profit to be made. After few weeks a discount of 10% is given to encourage more sales. A goods tax of 8% is applied at the point of sale. What does the customer now pay ?

8)  A store has an item for $80 and discounts it by 15%. Find the 

i)  discount 

ii)  the sale price

9)  Jarrod buys a wetsuit for $55 to be sold in his shop. He adds 40% for profit and also 12% goods tax. What price will he write on the sales tag ?

10)  A motor cycle today costs $3750. The inflation rates over the next four years are predicted to be 3%, 4%, 5% and 5%. If this occurs, what is the expected cost of the motor cycle at the end of this period ?

Detailed Solution

Question 1 :

If marked price = ₹1700, selling price = ₹1540 then find the discount.

Solution :

Discount   =   Marked price - Selling price

Discount  =  1700-1540

  =  ₹160

Question 2 :

If marked price = ₹990 and percentage of discount is 10, then find the selling price.

Solution :

Discount percentage  =  10%

Formula to find discount percentage 

=  [(Marked price-Selling price)/marked price] x 100%

Let x be the selling price.

10%  =  [(990-x)/990] ⋅ 100%

10  =  [(990-x)/990] ⋅ 100%

99  =  990-x

x  =  990-99

x  =  891

So, selling price is 891.

Question 3 :

If selling price = ₹900. Discount is 20%, then find the marked price.

Solution :

Discount percentage  =  20%, selling price  =  900

Formula to find discount percentage 

=  [(Marked price-Selling price)/marked price] x 100%

Let x be the marked price.

20%  =  [(x-900)/x] ⋅ 100%

20/100  =  (x-900)/x]

x  =  5(x-900)

x  =  5x - 4500

4x  =  4500

x  =  1125

So, the marked price is 1125.

Question 4 :

A shopkeeper decides to sell a certain item at a certain price. He tags the price on the item by increasing the decided price by 25%. While selling the item, he offers 20% discount. Find how many more or less percent he gets on the decided price.

Solution :

Let x be the decided price. That is 100%.

125% of x  =  increased price

Selling price  =  80% of 125% of x

  =  0.80(1.25x)

Selling price  =  x (decided price)

Since the decided price of the item is same as the selling price of the item so the shopkeeper neither makes any profit nor any loss on selling the item.

Thus, the shopkeeper gets 0% on the decided price.

Question 5 :

The marked price of a television is $18500. A dealer allows two successive discounts of 20% and 5%. For how much is the television available?

Solution :

Selling price after first discount  =  80% of 18500

  =  0.80(18500)

  =  14800

Selling price after the 2nd discount  =  95% of 14800

=  0.95(14800)

=  $14060

So, the selling price after the second discount is $14600.

Question 6 :

A pair of shoes has a marked price of $160. However, the store is having a clearance sale, so a 28% discount offered.

a)  How much discount will be deducted ?

b)  What is the selling price of the shoes ?

c)  If a 12.5% sales tax must be paid on the selling price, what will be the final price paid by the customer ?

Solution :

Marked price of pair of shoes = $160

Discount = 28%

a) To calculate how much money is reduced, we have to find 28% of original price.

= 28% of 160

= 0.28(160)

= 44.8

So, approximately $45 has been reduced.

b)  Selling price = (100 - 28)% of 160

= 72% of 160

= 0.72 (160)

= $115.2

Selling price of the shoe is approximately $115.

c)  Price after sales tax = (100 + 12.5)% of 115

= 112.5% of 115

= 1.125 (115)

= 129.375

= $129

Question 7 :

Game consoles are bought by an electronics store owner for $120. They are marked up by 55% in order for profit to be made. After few weeks a discount of 10% is given to encourage more sales. A goods tax of 8% is applied at the point of sale. What does the customer now pay ?

Solution :

Original price = 120

Marked up by 55%

Price after the markup = 155% of 120

Discount = 10%

Price after discount = 90% of 155% of 120

= 0.90(1.55)(120)

= 167.4

Goods tax = 8%

Price after tax = 108% of 167.4

= 1.08 (167.4)

= 180.79

Approximately $181.

Question 8 :

A store has an item for $80 and discounts it by 15%. Find the 

i)  discount 

ii)  the sale price

Solution :

Sale price = 80

Discount = 15%

i) Amount for discount = 15% of 80

= 0.15(80)

= $12

So, $12 is the discount.

ii)  Sales price after discount

= (100 - 15)% of 80

= 85% of 80

= 0.85(80)

= 68

Question 9 :

Jarrod buys a wetsuit for $55 to be sold in his shop. He adds 40% for profit and also 12% goods tax. What price will he write on the sales tag ?

Solution :

Price of wetsuit = $55

Profit = 40%

Good tax = 12%

Cost of wetsuit after including the profit of 40%

= 140% of 55

= 1.4(55)

= 77

Cost of suit after goods tax = 112% of 77

= 1.12(77)

= 86.24

So, the price in the sales tag is $86.24

Question 10 :

A motor cycle today costs $3750. The inflation rates over the next four years are predicted to be 3%, 4%, 5% and 5%. If this occurs, what is the expected cost of the motor cycle at the end of this period ?

Solution :

Cost of motorcycle = $3750

After the 1^st year cost of motor cycle = $103% of 3750

After the 2^nd year cost of motor cycle

= 104% of $103% of 3750

After the 3^rd year cost of motor cycle

= 105% of (104% of $103% of 3750)

After the 4^th year cost of motor cycle

= 105% of 105% of (104% of $103% of 3750)

= 1.05 · 1.05 · 1.04 · 1.03 · 3750

= 4428.74

So, the expected cost is $4428.74

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