# WORD PROBLEMS ON PERCENTAGE - 5

Problem 1 :

A product that regularly sells for \$425 is marked down to \$318.75. What is the discount rate?

Solution :

Regular price  =  \$ 425

Marked down price  =  \$ 318.75

Marked down value  =  425 - 318.75  =  106.25

Marked down rate  =  (106.25 / 425)  100 %

Marked down rate  =  25 %

Hence, the marked down rate is 25 %

Problem 2 :

A product is marked down 15%; the sale price is \$127.46. What was the original price ?

Solution :

Selling price (S.P)  =  (100 - M)%  Original price -----(1)

Here,  S.P  =  127.46,  M  =  15

Substitute the above values in (1).

127.46  =  (100 - 15)  Original price

127.46  =  85%  Original price

127.46  =  0.85  Original price

127.46 / 0.85  =  Original price

149.95  =  Original price

Hence, the original price is \$ 149.95

Problem 3 :

On selling 20 units of an item, the profit is equal to cost price of 5 units. Find the mark mark up rate.

Solution :

Let m be the cost price of one unit.

Then, the  cost price of 20 units is 20m.

Profit  on selling 20 units  =  C.P of 5 units

Profit  on selling 20 units  =  5m

Mark up rate  =  ( profit / cost )  100 %

=  (5m / 20m)  100 %

=  25%

Hence, the mark up rate is 25%

Problem 4 :

On selling an item, a trader gets a profit of \$20. If the selling price is five times the profit, find the mark up rate.

Solution :

Profit  =  \$20

Selling price  =  5  profit  =  5  20  =  \$100

Cost price  =  Selling price - Profit

Cost price  =  100 - 20  =  \$80

Mark up rate =  ( profit / cost )  100 %

=  (20 / 80)  100 %

=  25%

Hence, the mark up rate is 25%

Problem 5 :

If the profit is 10%, then the selling price is \$132. If the profit is 15%, what must be the selling price ?

Solution :

To answer this question, first we have to know the cost price of the product.

Let x be the cost price.

Given : If the profit is 10%, then the selling price is \$120.

Then, we have

1.1x  =  132

Divide each side by 1.1

x  =  120

The cost price of the product is \$120.

If the profit is 15%, then the selling price is

=  1.15 ⋅ 120

=  138

So, if the profit is 15%, what must be the selling price. Apart from the problems on percentage given above, if you need more problems on percentage, please click the following links.

Percentage Word Problems

Percentage Word Problems - 1

Percentage Word Problems - 2

Percentage Word Problems - 3

Percentage Word Problems - 4

Apart from the stuff given above, if you need any other stuff in math, please use our google custom search here.

You can also visit the following web pages on different stuff in math.

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