**Percentage Word Problems Worksheet :**

Worksheet given in this section is much useful to the students who would like to practice problems on "Percentage".

**Problem 1 : **

The production of rice increased by 50% from 1995 to 1996.By what percentage should the production of rice be increased from 1996 to 1997, so that the production of rice in 1997 becomes six times that of 1995 ?

**Problem 2 : **

15% of income of A is equal to 25% of income of B and 10% of income of B is equal to 30% of income of C. If income of C is $ 1600, find the total income of A, B and C.

**Problem 3 : **

The length of a rectangle is increased by 50%. By what percent would the width have to be decreased to maintain the same area ?

**Problem 4 : **

The production of wheat was increased by 20% from the year 1994 to 1995. It was further increased by 25% from 1995 to 1996. Find the the percentage change in the production of wheat from 1994 to 1996.

**Problem 5 : **

The price of a table is $ 400 more than that of a chair. If 4 tables and 6 chairs together cost $3600, by what percentage is the price of the chair less than that of the table ?

Let us look at step by step solution for the problems given on "Percentage word problems worksheet"

**Problem 1 : **

The production of rice increased by 50% from 1995 to 1996.By what percentage should the production of rice be increased from 1996 to 1997, so that the production of rice in 1997 becomes six times that of 1995 ?

**Solution : **

Let the production of rice be 100 tons in 1995.

1995 ===> 100 tons

Because the production has been increased by 50% in 1996 from 1995, we have

1996 ===> 150 toms

Because the production in 1997 becomes six times that of 1995, we have

1997 ===> 600 tons

When we look in to the above calculations, it is very clear that the production of rice has been increased by 450 tons 1997 from 1996.

Percentage increase 1997 from 1996 is

= (450/150) ⋅ 100 %

= 300%

Hence percentage of rice production increased from 1996 to 1997 is 300%.

**Problem 2 :**

15% of income of A is equal to 25% of income of B and 10% of income of B is equal to 30% of income of C. If income of C is $ 1600, find the total income of A, B and C.

**Solution : **

Let A,B and C be the incomes of A,B and C respectively

From the given information, we have C = $1600

10% of B = 30% of C

(10/100) ⋅ B = (30/100) ⋅ 1600

B = $4800

So, the income of B is $4800.

15% of A = 25% of B

(3/20) ⋅ A = (1/4) ⋅ 4800

A = (20/3) ⋅ (1/4) ⋅ 4800

A = $8000

So, the income of B is $8000.

A + B + C = 8000 + 4800 + 1600

A + B + C = 14400

Hence, the total income of A,B and C is $14400

**Problem 3 :**

The length of a rectangle is increased by 50%. By what percent would the width have to be decreased to maintain the same area ?

**Solution : **

Let the length and width of the rectangle be 100 cm each.

Area of the rectangle = l ⋅ W = 100 ⋅ 100 = 10000 cm^{2}

Given : The length of the rectangle is increased by 50%.

Let the width of the rectangle be decreased by P% to maintain the same area.

After changes,

length = 150

width = (100 - P)% of 100 = 100 - P

Even after the above two changes, area will be same

150 ⋅ (100 - P) = 10000

15000 - 150P = 10000

150P = 5000

P = 33.33%

Hence, the width has to be decreased by 33.33% to maintain the same area.

**Problem 4 :**

The production of wheat was increased by 20% from the year 1994 to 1995. It was further increased by 25% from 1995 to 1996. Find the the percentage change in the production of wheat from 1994 to 1996.

**Solution : **

Let the production of rice be 100 tons in 1994.

1994 ===> 100 tons

Because the production has been increased by 20% in 1994 to 1995, we have

1995 ===> 120 toms

Because the production has been increased by 25% in 1996 from 1995, we have

1996 ===> (100 + 25)% of 120

1996 ===> 125% ⋅ 120

1996 ===> 1.25 ⋅ 120

1996 ===> 150 tons

When we look in to the above calculations, it is very clear that the production of rice has been increased by 50% in 1996 from 1994.

**Problem 5 :**

The price of a table is $ 400 more than that of a chair. If 4 tables and 6 chairs together cost $3600, by what percentage is the price of the chair less than that of the table ?

**Solution : **

Let "x" be the price of a chair.

Then the price of a table = x + 400.

4 tables + 6 chairs = 3600

4(x + 400) + 6x = 3600

4x + 1600 + 6x = 3600

10x = 2000

x = 200

So, the price of a chair is $400 and the price of a table is $800.

Price of a chair is $400 less than that of the table

Percentage change = (400/800) ⋅ 100% = 50%

Hence, the price of a chair is 50% less than that of the table.

After having gone through the stuff given above, we hope that the students would have understood "Percentage word problems worksheet"

Apart from the stuff given above, if you want to know more about "Percentage word problems worksheet", please click here.

Apart from the stuff "Percentage word problems worksheet", if you need any other stuff in math, please use our google custom search here.

HTML Comment Box is loading comments...

**WORD PROBLEMS**

**HCF and LCM 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**