Important Questions: Comparing Quantities - Class 7 MCQ

A percentage represents a fraction where the denominator is 100. It is a way to express a number as a part of a whole divided into 100 equal parts.

Let the original number be x. Then, 30% of x is 90:

30/100 × x = 90

0.3x = 90

x = 90/0.3 = 300

To convert a fraction to a percentage, multiply it by 100:
3/4 × 100 = 75%

Profit = Selling Price (SP) - Cost Price (CP) = ₹600 - ₹500 = ₹100

Profit Percentage = Profit/CP × 100 = 100/500 × 100 = 20%

Simple Interest (SI) = 
Given SI = ₹200, R = 5%, T = 2 years

Increase = 75 - 50 = 25

Percentage Increase = Increase/Original Quantity × 100 = 25/30 × 100 = 50%

Let the number be x. Then, 40% of x is 80:

Principal (P) = ₹10,000, Rate (R) = 8%, Time (T) = 3 years
Simple Interest (SI) =  
Total Amount = Principal + Interest = ₹10,000 + ₹2,400 = ₹12,400

Let the original number be 100.

After a 25% increase: 100 + 25 = 125

After a 20% decrease: 125 - 20% of 125 = 125 - 25 = 100

Net change = 100 - 100 = 0%

To convert a decimal to a percentage, multiply by 100:
0.75×100=75%