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

The two numbers are in the ratio 5 : 6. If their LCM is 720 , find the bigger number.
A. 110
B. 172
C. 196
D. 144

Question 2

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 3

If the cost price of 6 bananas is equal to selling price of 4 bananas, then what is the gain percentage?
A. 50%
B. 78%
C. 35%
D. 42%

Question 4

Wasim took a loan at 8% interest for 2 years and returned ₹ 4454.4 . How much loan did he borrow?
A. 3840
B. 3600
C. 4000
D. 4100

Question 5

Ravi borrowed ₹25000 from bank at 8% rate of interest and for 4 years. He paid amount in form of watch costing ₹15625 and remaining as cash. How much amount he paid in cash?
A. ₹16,320
B. ₹11,452
C. ₹17,375
D. ₹ 12,367