WORKSHEET ON DISCOUNT AND SALES TAX

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.

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