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Percentage Formula Sheet

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Description – Percentage Formula Sheet This sheet provides a complete collection of important formulas on Percentages, designed especially for competitive and government exams like SSC, Banking, Railways, Defence, and State PSC. It covers the basics of percentage calculation, increase and decrease, successive percentage changes, population growth problems, and quick fraction-to-percentage conversions. The formulas are presented in a clear and concise manner with practical examples to make learning easy and exam-ready. This resource helps students save time during revision, strengthen problem-solving speed, and build confidence in one of the most scoring topics of arithmetic.

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1. What is Percentage?

Socho aapke paas ek chocolate cake hai 🎂 aur usko 100 equal parts me cut kar diya. Ab
agar aapne 25 parts khaye, iska matlab hai aapne 25% cake khaya.

Simple words me, percentage matlab kisi bhi number ko 100 ke hisaab se compare
karna.




2. Daily Life Examples

●​ Agar ek shopkeeper bolta hai Flat 50% off iska matlab hai aapko aadhe paise hi
dene hain.​

●​ School me agar aap 500 marks me se 400 laate ho, to teacher kehti hai Tumne 80%
marks liye​

●​ Election me agar kisi candidate ko 60% votes mil gaye, iska matlab hai usko total
votes ka zyada hissa mila.​


👉 Matlab, percentage is everywhere in real life.

3. Increase & Decrease (Human Example)

Maan lo ek mobile ka price ₹10,000 hai.

●​ Agar us par 10% discount hai → New Price = ₹9,000.​

●​ Agar 10% tax lag gaya → Price = ₹11,000.​


Yaani percentage ka use prices, salary, population, marks, discounts sab jagah hota
hai.

, 4. Successive Percentages (Easy Story)

Socho aapki salary pehle 20% badh gayi aur agle saal phir 10% badh gayi.​
Log sochenge salary 30% badhi hai – par asli answer alag hoga.​
Formula lagate hain:

20+10+20×10100=32%20 + 10 + \frac{20 \times 10}{100} = 32\%20+10+10020×10​=32%

👉 Matlab aapki salary total 32% badhi hai, na ki sirf 30%.

5. Percentage Change

Aapka weight 60 kg se badh kar 66 kg ho gaya.​

👉
Change = (6/60) × 100 = 10% increase.​
Matlab aapne apna weight 10% badha liya.




6. Why Percentages are Important in Exams?

Government exams me examiner ko ye topic pasand hai kyunki:

●​ Ye easy aur scoring hota hai.​

●​ Iska use Profit & Loss, SI & CI, Time & Work, DI (graphs, tables) sabme hota hai.​

●​ 2-3 smart tricks yaad kar lo, to aap easily 5–10 marks grab kar loge.​




In short:​
Percentage ek aisa tool hai jo humari life ko measure karta hai – chahe wo marks ho,
discount ho, ya salary ki growth. Aur exams me ye aapke marks grow karne ka easy tareeka
hai.

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Uploaded on
August 19, 2025
Number of pages
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Written in
2025/2026
Type
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