Practice the Questions given in the Worksheet on Word Problems on Proportion and learn the concept in depth. Improve your math knowledge by answering the free questions on Proportion Word Problems. Find Problems on Proportion where the items in the questions are proportional to one another.

Word Problems on Proportion Worksheet with Answers has two types of questions namely directly proportion, inversely proportion. Students can solve them on a frequent basis and enhance their math problem-solving skills.

## Proportion Word Problems Worksheet PDF

Example 1.
Ram earned Rs 340 for working 3 hours at her job today. How much he could earn tomorrow if he works 10 hours at the same hourly rate?

Solution:

Given,
Ram earned money=Rs 340
No. of hours=3
Let x be the money earned for working 10 hours
340/3=x/10
x=340/3.10
x=1130
Therefore, Ram earned Rs 1130 for working 10 hours.

Example 2.
If a car gets 15 miles to the gallon, how many gallons of gas will it use to travel 150 miles?

Solution:

Given,
A car travels for 1 gallon=15
Let the number of gallons required for 150 miles be x.
15/1=150/x
15x=150
x=150/15=10
Therefore, 10 gallons of gas are required for 150 miles.

Example 3.
A chef made 20 donuts in 60 minutes. How long would it take him to make 120 donuts?

Solution:

Given,
No. of donuts made in 60 minutes=20
Let x be the time taken for making 90 donuts.
60/20=x/90
x=60/20.90
=270
Therefore, 270 minutes is taken for 90 donuts.

Example 4.
The total weight of 20 boxes is 60 pounds. How much would 50 boxes weigh?

Solution:

Given,
The total weight of 20 boxes=60 pounds
Let the weight of 50 boxes be x.
60/20=x/50
x=60/20.50
=150
Therefore, the weight of 50 boxes is 150 pounds.

Example 5.
A person types 200 words in 4 minutes. How much time does he take to type 600 words?

Solution:

Given that,
No. of words a person type=200
Time taken for 200 words=4 minutes
Let x be the time taken for typing 600 words.
4/200=x/600
x=4/200.600
=12 minutes
Therefore, the time taken for typing 600 words is 12 minutes.

Example 6.
On a certain map, 1 cm = 8 km actual distance. If two places are 120 km apart, what is their distance on a map?

Solution:

Given that,
In a map, the actual distance of 1cm is=8 km.
The distance between the two places is 120 km.
Let the distance on the map be x.
1/8=x/120
x=1/8.120
=15
Hence, the distance on a map for the two places is 15 km.

Example 7.
2 pipes take 80 minutes to water the field. How much time it will take to water the field with 8 pipes?

Solution:

Given that,
The time taken for 2 pipes to water the field=80 minutes
As more pipes are there, time reduces. Hence pipes and minutes are inversely proportional.
Let the time taken for 8 pipes to water the field be x.
2.80=8.x
8x=160
x=160/8=20
Therefore, the time taken for 8 pipes to water the field is 20 minutes.

Example 8.
14 workers can complete the work in 5 days. How many workers will be required to complete the work in 2 days?

Solution:

Given that,
No. of workers can complete the work in 5 days=14
No. of workers will be required to complete the work in 2 days be x.
As days reduce, work increases. So workers will increase.
Hence days and workers are inversely proportional.
14.5=x.2
70=2x
x=70/2=35
Therefore, 35 workers will be required to complete the work in 2 days.

Example 9.
The room has a length-to-width ratio of 6:5. If the room is 70 feet wide. How long is it?

Solution:

Given that,
The ratio of length to width is=6:5
Width of the room=70
Let the length of the room be x.
6/5=x/70
x=6/5.70
x=84
Hence, the length of the room is 84.

Example 10.
In his first 80 games, Rajesh hit 68 home runs. If he continues at the rate, how many home runs will Rajesh hit in his next 250 games?

Solution:

Given that,
Rajesh hit home runs in the first 80 games=68
Let the Rajesh hit home runs in 250 games be x.
68/80=x/250
x=68/80.250
=212
Therefore, Rajesh will hit 212 home runs in 272 games.

Example 11.
A group of students was asked about their favorite sports. Out of 70 students surveyed,50 students listed cricket as their favorite sport. At that rate, if 200 students were surveyed, how many would you expect to list cricket as a favorite sport?

Solution:

Given that,
No. of students surveyed=70
No. of students listed cricket as their favorite sport=50
Let the no. of students who listed cricket as their favorite sport be x.
50/70=x/200
x=50/70.200
x=142
Hence, In 200students who listed cricket as their favorite sport is 142.

Example 12.
Kishore is selling toys as part of the fundraiser. During the first 64 days of the fundraiser, Kishore sold 42 toys. If Kishore maintained that rate how many toys would Krishna sell in a 232 day period?

Solution:

Given that,
In the first 64 days of the fundraiser, Kishore sold toys=42
Let the no. of toys sold in 232 days be x.
42/64=x/232
x=42/64.232
=152
Hence, no. of toys sold in 232 days be 152.

Example 13.
A wild reserve has a population of 100 deers. A group of researchers trapped 52 deers and recorded their vital statistics. Of the trapped deers, 30 were female. If that rate holds true for the entire population of 100 deers, how many female deers are on the wildlife reserve?

Solution:

Given that,
No. of deers in the wild reserve=100
No. of trapped deers=52
No. of female deers=30
Let the no. of female deers in 100 deers of wild reserve be x.
30/52=x/100
x=30/52.100
x=57
Hence, no. of female deers in 100 deers is 57.