Percentage : Short Notes for CUET , CLAT and IPMAT 2025

 Important notes and questions for the Percentage chapter for CUET , CLAT and IPMAT

Percentage Concepts:

             1. Increase/Decrease Percentage

             2. Successive Percentage Change

             3. Compound Annual Growth Rate (CAGR)

            4. Percentage Points

Short Tricks

1. Percentage Increase/Decrease:

    - Increase: New Value = Old Value + (Old Value × Rate%)

    - Decrease: New Value = Old Value - (Old Value × Rate%)

2. Successive Percentage Change:

    - 2 successive increases: a% + b% + (ab/100)

    - 2 successive decreases: a% - b% - (ab/100)

3. CAGR:

    - Final Amount = Principal × (1 + Rate/100)^n

 

 

Important Formulas

1. Percentage = (Change/Original) × 100

2. CAGR = (End Value/Beginning Value)^(1/n) - 1

 

Previous Year Questions (CUET, CLAT, IPMAT)

 

1. CUET 2022:
 If a company's sales increase by 15% every year, what is the percentage increase in sales over 2 years?

2. CLAT 2022:
A person invests ₹50,000 at 10% interest for 2 years. What is the interest earned?

3. IPMAT 2022:
 A company's profit increases by 25% every year. What is the profit after 3 years if the initial profit was ₹100 crore?

 

 

Additional Notes

Percentage Change in Value:

1. Percentage increase = ((New Value - Old Value) / Old Value) × 100

2. Percentage decrease = ((Old Value - New Value) / Old Value) × 100

 

Compound Interest:

1. Compound Interest = Principal × (1 + Rate/100)^n - Principal

2. Amount = Principal × (1 + Rate/100)^n

 

Percentage Points

1. Percentage point increase = (New Percentage - Old Percentage)

2. Percentage point decrease = (Old Percentage - New Percentage)

 

Easy Questions:

 

1. A company's sales increased by 20%. If sales were ₹100 crore, what are they now?

Answer: ₹120 crore

2. A person invests ₹10,000 at 8% interest for 1 year. What is the interest earned?

Answer: ₹800

3. A product's price decreases by 10%. If the original price was ₹500, what is the new price?

Answer: ₹450

 

Medium Questions:

1. A company's profit increases by 25% every year. What is the profit after 2 years if the initial profit was ₹100 crore?

Answer: ₹156.25 crore

2. A person invests ₹50,000 at 10% CAGR for 3 years. What is the final amount?

Answer: ₹70,915

3. A product's price increases by 15% and then decreases by 10%. What is the net percentage change?

Answer: 3.5% increase

 

Hard Questions

 

1. A company's sales increase by 20% every year for 3 years. What is the cumulative percentage increase?

Answer: 72.8%

2. A person invests ₹1 lakh at 12% CAGR for 5 years. What is the final amount?

Answer: ₹1,76,231

3. A product's price decreases by 20% successively for 4 years. What is the final price?

Answer: ₹32.768 (approx.)

 

 

Here are some additional practice questions for the Percentage chapter:

Easy Questions

 

1. A company's revenue increases by 15%. If revenue was ₹500 crore, what is the new revenue?

2. A person invests ₹20,000 at 6% interest for 2 years. What is the interest earned?

3. A product's price decreases by 12%. If the original price was ₹400, what is the new price?

 

Moderate Questions

1. A company's profit increases by 20% every year for 2 years. What is the cumulative percentage increase?

2. A person invests ₹30,000 at 8% CAGR for 4 years. What is the final amount?

3. A product's price increases by 10% and then decreases by 8%. What is the net percentage change?

Hard Questions

1. A company's sales increase by 25% every year for 3 years. What is the cumulative percentage increase?

2. A person invests ₹50,000 at 10% CAGR for 6 years. What is the final amount?

3. A product's price decreases by 15% successively for 3 years. What is the final price?

 

Percentage Points Questions

1. If the interest rate increases from 6% to 8%, what is the percentage point increase?

2. If the inflation rate decreases from 5% to 3%, what is the percentage point decrease?

3. If the growth rate increases from 8% to 12%, what is the percentage point increase?

 

CAGR Questions

1. A company's revenue grows at 15% CAGR for 5 years. What is the final revenue if initial revenue was ₹100 crore?

2. A person invests ₹1 lakh at 12% CAGR for 7 years. What is the final amount?

3. A product's price increases at 10% CAGR for 4 years. What is the final price?

Here are the solutions to the practice questions:
                                     Easy Questions

1. A company's revenue increases by 15%. If revenue was ₹500 crore, what is the new revenue?

Answer: ₹575 crore (500 x 1.15)

2. A person invests ₹20,000 at 6% interest for 2 years. What is the interest earned?

Answer: ₹2,400 (20,000 x 0.06 x 2)

3. A product's price decreases by 12%. If the original price was ₹400, what is the new price?

Answer: ₹352 (400 x 0.88)

 

Moderate Questions

1. A company's profit increases by 20% every year for 2 years. What is the cumulative percentage increase?

Answer: 44% ((1.2)^2 - 1)

 

2.A person invests ₹30,000 at 8% CAGR for 4 years. What is the final amount?

Answer: ₹41,259 (30,000 x (1.08)^4)

 

3. A product's price increases by 10% and then decreases by 8%. What is the net percentage change?

Answer: 1.2% (1.1 x 0.92 - 1)

Hard Questions:

1. A company's sales increase by 25% every year for 3 years. What is the cumulative percentage increase?

Answer: 95.37% ((1.25)^3 - 1)

 

 

2. A person invests ₹50,000 at 10% CAGR for 6 years. What is the final amount?

Answer: ₹88,917 (50,000 x (1.1)^6)

 

 

3. A product's price decreases by 15% successively for 3 years. What is the final price?

Answer: ₹51.09 (initial price x 0.85^3)

 

 

Percentage Points Questions

 

1. If the interest rate increases from 6% to 8%, what is the percentage point increase?

Answer: 2 percentage points

2. If the inflation rate decreases from 5% to 3%, what is the percentage point decrease?

Answer: 2 percentage points

3. If the growth rate increases from 8% to 12%, what is the percentage point increase?

Answer: 4 percentage points

 

CAGR Questions

1. A company's revenue grows at 15% CAGR for 5 years. What is the final revenue if initial revenue was ₹100 crore?

Answer: ₹207.89 crore (100 x (1.15)^5)

2. A person invests ₹1 lakh at 12% CAGR for 7 years. What is the final amount?

Answer: ₹2,00,897 (1 lakh x (1.12)^7)

3. A product's price increases at 10% CAGR for 4 years. What is the final price?

Answer: ₹1.46 times initial price ((1.1)^4)

 

 

Thanks for Visit.
Follow us for more interesting and useful articles . Thanks