Comparing Quantities
Percentage, profit-loss, simple interest, and ratio in comparing quantities.
Chapter Overview
Compare quantities using ratios, percentages, profit-loss, simple interest, and converting fractions/decimals to percent — core for shopping, banking, and GST basics.
Percentage
Percent
x% = x/100
Change
Increase% = (change/original) × 100
Simple interest
SI = PRT/100
Profit and Loss
- CP = Cost Price, SP = Selling Price
- Profit = SP − CP; Loss = CP − SP
- Profit% = (Profit/CP) × 100
Applications
Discounts during Diwali sales, bank interest on fixed deposits, and comparing exam marks use percentage reasoning.
Solved Examples
Step-by-step solutions — read each step before checking the final answer.
Example 1: Find Percentage
Rahul scored 42 out of 50. Find percentage.
- 1(42/50) × 100
Answer
84%
Example 2: Simple Interest
Find SI on ₹8,000 at 5% per year for 3 years.
- 1SI = PRT/100
- 2= 8000×5×3/100
Answer
₹1,200
Key Points to Remember
- ✓ Percent means per hundred
- ✓ Amount = Principal + Interest
- ✓ Discount reduces selling price
Exam Tips
- • Identify CP and SP correctly
- • Write formula for SI before substituting
Practice MCQs — Comparing Quantities
Test your understanding with topic-wise multiple choice questions. Explanations appear after each answer.
0.25 as percentage is: