# WORKSHEET ON WORD PROBLEMS ON PERCENTAGE 5

## About "Worksheet on Word Problems on Percentage 5"

Worksheet on Word Problems on Percentage 5 :

This is the continuity of our web content given on "Word problems on Percentage Worksheet 4".

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## Worksheet on Word problems on Percentage 5 - Problems

Problem 1 :

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

Problem 2 :

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

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.

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.

Problem 5 :

Difference between the cost price of two products is \$10. Difference between the selling price is \$20. If one is sold at 20% profit and other one is sold at 20% loss, find the cost price of each product.

## Worksheet on Word problems on Percentage 5 - Solution

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) x 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

Plugging the above values in (1), we get

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  =  20m

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

Difference between the cost price of two products is \$10. Difference between the selling price is \$20. If one is sold at 20% profit and other one is sold at 20% loss, find the cost price of each product.

Solution :

Let "x" and "y" be the cost prices of two products.

Then,  x - y  =  10  --------(1)

Let us assume thatr "x" is sold at 20% profit

Then, the selling price of "x"  =  120% of "x"

selling price of "x"  =  1.2x

Let us assume thatr "y" is sold at 20% loss

Then, the selling price of "y"  =  80% of "y"

selling price of "x"  =  0.8y

Given : Selling price of "x"  -  Selling price of "y"  =  12

1.2x - 0.8y  =  20 -------> 12x - 8y  =  200

3x - 2y  =  50 --------(2)

Solving (1) and (2), we get x  =  30 and y  =  20

Hence, the cost prices of two products are \$30 and \$20.

Apart from the problems on percentage given above, if you need more problems on percentage, please click the following links.

Percentage Worksheet

Percentage Worksheet - 1

Percentage Worksheet - 2

Percentage Worksheet - 3

Percentage Worksheet - 4

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