**Word Problems on Percentage 4 : **

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

Before we look at the problems, if you want to know the shortcuts required for solving percentage problems,

**Problem 1 :**

Sum of the cost price of two products is $50. Sum of the selling price of the same two products is $52. 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, we have

x + y = 50 -----(1)

Let us assume that x is sold at 20% profit.

Then, the selling price of x is

= 120% of x

= 1.2x

Let us assume that y is sold at 20% loss.

Then, the selling price of y is

= 80% of y

= 0.8y

**Given :** Sum of the selling price of the same two products is $52.

1.2x + 0.8y = 52

Multiply each side by 10 to get rid of the decimal.

12x + 8y = 520

3x + 2y = 130 -----(2)

Solving (1) and (2), we get

x = 30

y = 20

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

**Problem 2 : **

A computer store used a markup rate of 40%. Find the selling price of a computer game that cost the retailer $25.

**Solution : **

Selling price (S.P) = (100 + M)% ⋅ C.P

Here, M = 40, C.P = $25.

Then, we have

S.P = (100 + 40)% ⋅ 25

S.P = (100 + 40)% ⋅ 25

S.P = 140% ⋅ 25

S.P = 1.4 ⋅ 25

S.P = $35

Hence, the selling price is $35.

**Problem 3 : **

A golf store pays its wholesaler $40 for a certain club, and then sells it to a golfer for $75. What is the markup rate?

**Solution : **

Cost price (C.P) = $40

Selling price (S.P) = $75

Mark up value = 75 - 40 = $35

Mark up rate = (35/40) ⋅ 100 % = 87.5 %

Hence, the mark up rate is 87.5 %

**Problem 4 : **

A store uses a 40% markup on cost. Find the cost of a pair of shoes that sells for $63.

**Solution : **

Selling price (S.P) = (100 + M)% ⋅ C.P -----(1)

Here, S.P = $63, M = 40

Substitute the above values in (1).

(1)-----> 63 = (100+40)% ⋅ C.P

63 = 140% ⋅ C.P

63 = 1.4 ⋅ C.P

Divide each side by 1.4

45 = C.P

Hence, the cost of a pair of shoes is $ 45

**Problem 5 : **

A product is originally priced at $55 is marked 25% off. What is the sale price?

**Solution : **

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

Here, L.P = $55, M = 25

Substitute the above values in (1).

(1)-----> S.P = (100 - 25)% ⋅ 55

S.P = 75% ⋅ 55

S.P = 0.75 ⋅ 55

S.P = 41.25

Hence, the selling price is $ 41.25

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

After having gone through the stuff given above, we hope that the students would have understood, how to solve word problems on percentage.

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

Widget is loading comments...

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

**WORD PROBLEMS**

**Word problems on simple equations **

**Word problems on linear equations **

**Word problems on quadratic equations**

**Area and perimeter word problems**

**Word problems on direct variation and inverse variation **

**Word problems on comparing rates**

**Converting customary units word problems **

**Converting metric units word problems**

**Word problems on simple interest**

**Word problems on compound interest**

**Word problems on types of angles **

**Complementary and supplementary angles word problems**

**Markup and markdown word problems **

**Word problems on mixed fractrions**

**One step equation word problems**

**Linear inequalities word problems**

**Ratio and proportion word problems**

**Word problems on sets and venn diagrams**

**Pythagorean theorem word problems**

**Percent of a number word problems**

**Word problems on constant speed**

**Word problems on average speed **

**Word problems on sum of the angles of a triangle is 180 degree**

**OTHER TOPICS **

**Time, speed and distance shortcuts**

**Ratio and proportion shortcuts**

**Domain and range of rational functions**

**Domain and range of rational functions with holes**

**Graphing rational functions with holes**

**Converting repeating decimals in to fractions**

**Decimal representation of rational numbers**

**Finding square root using long division**

**L.C.M method to solve time and work problems**

**Translating the word problems in to algebraic expressions**

**Remainder when 2 power 256 is divided by 17**

**Remainder when 17 power 23 is divided by 16**

**Sum of all three digit numbers divisible by 6**

**Sum of all three digit numbers divisible by 7**

**Sum of all three digit numbers divisible by 8**

**Sum of all three digit numbers formed using 1, 3, 4**

**Sum of all three four digit numbers formed with non zero digits**

**Sum of all three four digit numbers formed using 0, 1, 2, 3**

**Sum of all three four digit numbers formed using 1, 2, 5, 6**

Widget is loading comments...