# WORKSHEET ON PERCENTAGE PROBLEMS

Worksheet on Percentage Problems :

Worksheet given in this section will be much useful to the students who would like to practice problems on percentage.

Before look at the worksheet, if you would like to know the stuff percentage in detail,

## Worksheet on Percentage Problems - Questions

Question 1 :

What is 20% of 50 ?

Question 2 :

If A's salary is  20% less than B's salary. By what percent is B's salary more than A's salary ?

Question 3 :

In an election, a candidate who gets 84% of votes is elected by majority with 588 votes. What is the total number of votes polled ?

Question 4 :

When the price of a product was decreased by 10 % , the number sold increased by 30 %. What was the effect on the total revenue ?

Question 5 :

A student multiplied a number by 3/5 instead of 5/3. What is the percentage error in the calculation ?

## Worksheet on Percentage Problems - Solutions

Question 1 :

What is 20% of 50 ?

Solution :

20 % of 50 =  0.2 x 50  =  10

Hence, 20% of 50 is 10.

Question 2 :

If A's salary is  20% less than B's salary. By what percent is B's salary more than A's salary ?

Solution :

Let us assume B's salary  =  \$ 100 ----------(1)

Then, A's salary  =  \$ 80 --------(2)

Now we have to find the percentage increase from (2) to (1).

Difference between (1) and (2)  =  \$ 20

Percentage increase from (2) to (1) is

=  (20/80) x 100%  =  25%

Hence,  B's salary is 25% more than A's salary.

Question 3 :

In an election, a candidate who gets 84% of votes is elected by majority with 588 votes. What is the total number of votes polled ?

Solution :

Let "x" be the total number of votes polled.

Given : A candidate who gets 84% of votes is elected by majority of 476 votes

From the above information, we have

84% of x  =  588 ---------> 0.84x  =  588

x  =  588 / 0.84  =    700

Hence,  the total number of votes polled 700.

Question 4 :

When the price of a product was decreased by 10 % , the number sold increased by 30 %. What was the effect on the total revenue ?

Solution :

Before decrease in price and increase in sale,

Let us assume that price per unit = \$ 100.

Let us assume that the number of units sold = 100

Then,

the total revenue  =  100 x 100  =  10000 -----------(1)

After decrease 10 % in price and increase 30 % in sale,

Price per unit = \$ 90.

Number of units sold = 130

Then,

the total revenue  =  90 x 130  =  11700 -----------(2)

From (1) and (2), it is clear that the revenue is increased.

Difference between (1) and (2)  =  1700

Percent increase in revenue

=  (Actual increase / Original revenue) x 100 %

=  (1700/10000) x 100 %

=  17 %

Hence, the net effect in the total revenue is 17% increase.

Question 5 :

A student multiplied a number by 3/5 instead of 5/3. What is the percentage error in the calculation ?

Solution :

In the given two fractions, the denominators are 5 and 3.

Let assume a number which is divisible by both 5 and 3.

Least common multiple of (5, 3)  =  15.

So, let the number be 15.

15 x 3/5  =  9  ----------(1) ---------incorrect

15 x 5/3  =  25  ---------(2) --------correct

Difference between (1) and (2) is 16

Percent error = (Actual error / Correct answer )  100 %

=  (16/25)  100 %

=  64%

Hence,  the percentage error in the calculation is 64 %.

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

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