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NCERT Solutions for Class 6 Maths Chapter 12: Ratio and Proportion Ex 12.1
There are 20 girls and 15 boys in a class.
(a) What is the ratio of number of girls to the number of boys?
(b) What is the ratio of girls to the total number of students in the class?
Total number of students in the class is,
20 + 15 = 35
(a) The ratio of girls to boys is 20/15=4/3=4:3
(b) The ratio of girls to all the students in class is 20/35=4/7=4:7
Out of 30 students in a class, 6 like football, 12 like cricket and remaining
like tennis. Find the ratio of:
(a) Number of students liking football to number of students liking tennis.
(b) Number of students liking cricket to total number of students.
Out of 30 students, if 6 like football and 12 like cricket, then 12 students like tennis.
(a) Students liking football to the number of students liking tennis is, 6/12=1/2=1:2
(b) Students liking cricket to all the students is 12/30=2/5=2:5
See the figure and find the ratio of:
(a) Number of triangles to the number of circles inside the rectangle.
(b) Number of squares to all the figures inside the rectangle.
(c) Number of circles to all the figures inside the rectangle.
(a) Number of triangles to number of circles is, 3/2=3:2
(b) Number of squares to all the figures inside the rectangle, 2/7=2:7
(c) Number of circles to all the figures inside the rectangle, 2/7=2:7
Distances travelled by Hamid and Akhtar in an hour are 9 km and 12 km.
Find the ratio of speed of Hamid to the speed of Akhtar.
We know that speed = distance/time so,
Speed of Hamid = 9/1= 9 km/hr.
Speed of Akhtar =12/1= 12 km/hr.
The ratio of speed of Hamid to Akhtar is, 9/12=3/4==3:4
Fill in the following blanks:
[Are these equivalent ratios?]
Find the ratio of the following:
(a) 81 to 108 (b) 98 to 63
(c) 33 km to 121 km (d) 30 minutes to 45 minutes
Find the ratio of the following:
(a) 30 minutes to 1.5 hours (b) 40 cm to 1.5 m
(c) 55 paise to Re. 1 (d) 500 ml to 2 litres
In a year, Seema earns ₹ 1,50,000 and saves ₹ 50,000. Find the ratio of:
(a) Money that Seema earns to the money she saves.
(b) Money that she saves to the money she spends.
There are 102 teachers in a school of 3300 students. Find the ratio of the
number of teachers to the number of students.
In a college out of 4320 students, 2300 are girls. Find the ratio of:
(a) Number of girls to the total number of students.
(b) Number of boys to the number of girls.
(c) Number of boys to the total number of students.
Out of 1800 students in a school, 750 opted basketball, 800 opted cricket
and remaining opted table tennis. If a student can opt only one game, find
the ratio of:
(a) Number of students who opted basketball to the number of students
who opted table tennis.
(b) Number of students who opted cricket to the number of students opting
(c) Number of students who opted basketball to the total number of
Cost of a dozen pens is ₹ 180 and cost of 8 ball pens is ₹ 56. Find the ratio of the cost of a pen to the cost of a ball pen.
Consider the statement:
Ratio of breadth and length of a ball is 2 : 5. Complete the following that
shows some possible breadths and lengths of the hall
Divide 20 pens between Sheela and Sangeeta in the ratio 3: 2.
Mother wants to divide ₹ 36 between her daughters Shreya and Bhoomika
in the ratio of their ages. If the age of Shreya is 15 years and age of
Bhoomika is 12 years, find how much Shreya and Bhoomika will get.
Present age of father is 42 years and that of his son is 14 years. Find the
(a) Present age of father to the present age of son.
(b) Age of the father to the age of the son, when son was 12 years old.
(c) Age of father after 10 years to the age of son after 10 years.
(d) Age of father to the age of son when father was 30 years old.
NCERT Solutions for Class 6 Maths Chapter 12: Ratio and Proportion Ex 12.2
Determine the following are in proportion:
(a) 15, 45, 40, 120
(b) 33, 121, 9, 96
(c) 24, 28, 36, 48
(d) 32, 48, 70, 210
(e) 4, 6, 8, 12
(f) 33, 44, 75, 100
Therefore 33, 44, 75, 100 are in proportion
NCERT Solutions for Class 6 Maths Chapter 12: Ratio and Proportion Ex 12.3
If the cost of 7 m of cloth is Rs. 294, find the cost of 5 m of cloth.
Ekta earns Rs. 1500 in 10 days. How much will she earn in 30 days?
If it has rained 276 mm in the last 3 days, how many cm of rain will fall in
one full week (7 days)? Assume that the rain continues to fall at the same
Cost of 5 kg of wheat is Rs. 30.50.
(a) What will be the cost of 8 kg of wheat?
(b)What quantity of wheat can be purchased in Rs. 61?
The temperature dropped 15 degree Celsius in the last 30 days. If the rate
of temperature drop remains the same, how many degrees will the
temperature drop in the next ten days?
Shains pays ₹ 7500 as rent for 3 months. How much does she has to pay for
a whole year, if the rent per month remains same
Cost of 4 dozens bananas is ₹ 60. How many bananas can be purchased for
The weight of 72 books is 9 kg what is the weight of 40 such books?
A truck requires 108 litres of diesel for covering a distance of 594 km. How
much diesel will be required by the truck to cover a distance of 1650 km?
Raju purchases 10 pens for Rs. 150 and Manish buys 7 pens for Rs. 84. Can
you say who got the pen cheaper?
Anish made 42 runs in 6 overs and Anup made 63 runs in 7 overs. Who
made more runs per over?