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%

Learning Videos for 7th Grade Math - Comparing Quantities

Comparing Quantities Sample Questions for Class 7

Question 1

What will be the selling price if 5 % loss incurs on ₹ 24,500?
A. ₹23,275
B. ₹22,450
C. ₹21,678
D. ₹ 22,562

Question 2

What must be added to each term of the ratio 2 : 5 so that new ratio becomes 3 : 4?
A. 7
B. 5
C. 8
D. 9

Question 3

If x : y = 3 : 4 , find (2x + 3y) : ( 3x + 5y)
A. 13 : 33
B. 18 : 29
C. 7 : 13
D. 8 : 7

Question 4

Roja borrowed ₹ 18,000 from bank at 7.5 % rate of interest for 3 years. She paid the amount back in form of a TV and ₹ 6500. What is the value of TV?
A. ₹13,250
B. ₹18,600
C. ₹15,500
D. ₹17,350

Question 5

Amin purchased a book second hand car for ₹ 2,40,000. He spend another₹ 50,000 on refurbishing.He then sold it at 6% profit. At ehat price he sold the car?
A. ₹3,00,740
B. ₹3,07,400
C. ₹3,40,740
D. ₹3,47,000