Learn Class 7 Math - Comparing Quantities

Every day, we are faced with the challenge of comparing two quantities. It could be height, weight, salary, grade, and so on. If two quantities are to be compared, their units need to be the same.

Comparing quantities refers to a quantitative relationship between two quantities that reflects their relative size. This is simply a method for comparing the quantities.

It is possible to compare quantities using a number of approaches, including percentages, ratios, profits and losses, and simple interest.

Two quantities in the same kind and unit have a proportional relationship when one quantity is fractionally a part of the other.

The ratio a:b is the same as the fraction ab, and it is written as a:b.

When a : b are equal, we call the antecedent and b the consequent.

It is essential that the units of two quantities be the same.

The four quantities are called proportional when the two ratios are equal.

The equation a : b :: c : d can be expressed as a : b : c : d.

Percentages can be obtained by multiplying fractions by 100 and adding a % sign

As an example, 14 = 14 × 100 = 25%

Comparing Quantities Sample Questions for Class 7

Question 1

₹1050 is divided between Asmit and Tanay in the ratio 11 : 14. What is the difference between amount received by each?
A. ₹100
B. ₹175
C. ₹126
D. ₹105

Question 2

The ages of A and B are in the ratio 2:3, 7 years hence the ages will be in ratio 15 : 19. What is present age of B?
A. 8
B. 18
C. 21
D. 12

Question 3

If (2a +6b) : ( 2a - 6b) = 6 :1 , then a:b = ?
A. 21 : 5
B. 13 : 8
C. 11 : 6
D. 2 : 3

Question 4

If a : b = 2: 3 and b : c = 6 : 10 , then a : c = ?
A. 1 : 2
B. 15 : 30
C. 12 : 30
D. 2 : 5

Question 5

The cost of an sharpner is 40 paise and the cost of a pencil is ₹2. What is the ratio of their costs in simplest form?
A. 2 : 20
B. 1 : 5
C. 1 : 4
D. 2 : 8