Word Problem: Ratio and Proportion | Mathematics for Class 5 PDF Download

Q1: Ramesh deposited ₹ 2050 in a bank and in the month of January he withdrew ₹ 410 from his account on the last date of the month. Find the ratio of
(a) Money withdrawn to the total money deposited.
(b) Money withdrawn to the remaining amount in the bank.
Ans:

Total money deposited = ₹ 2050
Amount of money withdrawn = ₹ 410
Amount of money left in the bank = ₹ 2050 – ₹ 410 = ₹ 1640

(a) Ratio of money withdrawn to the total money deposited

∴ Required ratio = 1 : 5

(b) Ratio of money withdrawn to the money left in the bank

∴ Required ratio = 1 : 4

Q2: There are 180 students in a class. Number of girls are 75. Find the ratio of the girls to the number of boys.
Ans: Total number of students = 180
Number of girls = 75
Number of boys = 180 – 75 = 105
∴ Ratio of number of girls to the number of boys

Required ratio = 5 : 7

Q3: Green paint is made by mixing blue, yellow and white paints in the ratio 2 : 7 : 1. How much blue paint is needed to make 64 litres of green paint?
Ans:
Here, sum of ratios = 2 + 7 + 1 = 10

∴ Total quantity of green paint = 64 litres

Quantity of blue paint  
Therefore, the required blue paint = 12.8 litres.

Q4: The first, second and fourth terms in a proportion are 32, 112, 217 respectively. Find the third term.
Ans:
Let the third term be x.
∴ 32, 112, x and 217 are in proportion.
∴ 32 : 112 :: x : 217

Thus, the third term = 62.

Q5: The cost of 10 tables is ₹ 7500. Find the number of tables that can be purchased with ₹ 9000.
Ans:
Number of tables purchased in ₹ 7500 = 10
Number of tables purchased in ₹ 1 = 10/7500
∴ Number of tables purchased in ₹ 9000

Q6: 39 packets of 12 pens each costs ₹ 374.40. Find the cost of 52 packets of 10 pens each.
Ans:
Number of pens in 1 packet = 12
Number of pens in 39 packets = 12 x 39 = 468
Number of pens in 1 packet = 10
Number of pens in 52 packets = 10 x 52 = 520
Now cost of 468 pen = ₹ 374.40

Q7: There are a total of 20 girls and 15 boys in the classroom.
(i) What is the final ratio of the number of girls present to the number of boys?
(ii) What is the final ratio of the number of girls present to the total number of students present in the class?
Ans:
Given,
Number of girls present = 20 girls
Number of boys present = 15 boys
Total number of students present = 20 + 15
= 35
(i) Ratio of the number of girls present to the number of boys is = 20 / 15 = 4 / 3
(ii) Ratio of the number of girls present to the total number of students is = 20 / 35 = 4 / 7

Q8: Out of 30 (thirty) students in a class, six students like football, 12 students like cricket and the remaining students like tennis. Find the ratio of
(i) Number of students that like football to number of students liking tennis.
(ii) Number of students liking cricket to total number of students.

Ans: The number of students who like football is = 6
The number of students who like cricket is = 12
The number of students who like tennis is = 30 – 6 – 12
= 12
(i) Ratio of the Number of students that like football to the number of students that like tennis
= 6 / 12 = 1 / 2
(ii) Ratio of the Number of students who like cricket to the total number of students who are
= 12 / 30
= 2 / 5

Q9: In a year, Seema earns around ₹ 1,50,000 and saves ₹ 50,000. So, find the ratio of
(i) Money that Seema earns to the money she saves
(ii) Money that she saves to the money she spends.
Ans: 
Money earned by Seema is = ₹ 150000
Money saved by her is = ₹ 50000
The Money spent by her = ₹ 150000 – ₹ 50000 = ₹ 100000
(i) Ratio of money earned to the money saved = 150000 / 50000 = 15 / 5
= 3 / 1
(ii) Ratio of money saved to the money spent = 50000 / 100000 = 5 / 10
= 1 / 2

Q10: There is a total of 102 teachers in a school of 3300 no students. Find the final ratio of the number of teachers present to the number of students.
Ans:
Given
Total number of teachers in a school = 102
The total number of students in a school is = 3300
The ratio of the number of teachers present to the number of students becomes = 102 / 3300
= (2 × 3 × 17) / (2 × 3 × 550)
= 17 / 550

Q11: In a college, out of 4320 students present, 2300 students are girls. And the rest are boys. Find the ratio of
(i) Number of girls to the total number of students.
(ii) Number of boys to the number of girls.
(iii) Number of boys to the total number of students.
Ans:
It is Given
The total number of students is = 4320
Number of girls present = 2300
Number of boys present = 4320 – 2300
= 2020
(i) Ratio of the Number of girls present to the total number of students present = 2300 / 4320
= (2 × 2 × 5 × 115) divided by (2 × 2 × 5 × 216), which will become,
= 115 / 216

(ii) Ratio of the Number of boys present to the number of girls present = 2020 / 2300
= (2 × 2 × 5 × 101) divided by (2 × 2 × 5 × 115)
= 101 / 115
(iii) Ratio of the Number of boys present to the total number of students present = 2020 / 4320
= (2 × 2 × 5 × 101) divided by (2 × 2 × 5 × 216)
= 101 / 216

Q12: Out of 1800 students present in a school, 750 students opted for basketball, 800 students opted for cricket, and the remaining students opted for table tennis. If a student can choose only one single game, then find the ratio of
(i) Number of students who opted for the sport basketball to the number of students who chose the sport table tennis.
(ii) Number of students who opted for the sport cricket to the number of students opting for the sport basketball.
(iii) Number of students who opted for the sport basketball to the total number of students.

Ans: 
(i) Ratio of the Number of students who opted for the sport basketball to the number of students that opted for the sport table tennis = 750 / 250 = 3 / 1

(ii) Ratio of the Number of students who opted for the sport cricket to the number of students opting for basketball
= 800 / 750 = 16 / 15

(iii) Ratio of the Number of students who opted for the sport basketball to the total number of students
= 750 / 1800 = 25 / 60 = 5 / 12