Complete Formula Revision of ArithmeticComplete Formula Revision of Arithmetic

Arithmetic is the foundation of Quantitative Aptitude and Competitive Exams. A quick revision of all important formulas helps in fast problem solving and accuracy. The major topics and their key formulas are:

1. Percentages

Percentage = (Value / Total Value) × 100



2. Profit & Loss

Profit = Selling Price – Cost Price

Profit % = (Profit / Cost Price) × 100

Loss % = (Loss / Cost Price) × 100



3. Simple Interest (SI) & Compound Interest (CI)

SI = (P × R × T) / 100

CI = P (1 + R/100)ᵀ – P



4. Ratio & Proportion

If a : b = m : n → (a/b) = (m/n)



5. Average

Average = (Sum of observations) / (Number of observations)



6. Time, Speed & Distance

Speed = Distance / Time

Time = Distance / Speed

Distance = Speed × Time



7. Time & Work

Work = Rate × Time

If A can do work in x days → A’s 1-day work = 1/x



8. Mensuration (2D & 3D Geometry)

Rectangle: Area = l × b, Perimeter = 2(l + b)

Circle: Area = πr², Circumference = 2πr

Cylinder: CSA = 2πrh, Volume = πr²h

Sphere: Surface Area = 4πr², Volume = 4/3 πr³



9. Algebra (Basic)

(a + b)² = a² + 2ab + b²

(a – b)² = a² – 2ab + b²

(a + b)(a – b) = a² – b²



10. Statistics (Basic)



Mean = Σx / n
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