Category Arithmetic Formulas

Trains, Boats, and Streams Formulas 1. Speed of Boat in Still Water Formula Speed of Boat in Still Water = Speed of Boat in Stream + Speed of Stream 2 Average speed of the boat downstream and the stream. 2.…

Mixture and Allegation Formulas 1. Allegation Method Formula Allegation Rule = Difference between Mean Price and Lower Price Difference between Higher Price and Mean Price Find the ratio of mixing two ingredients using their prices and mean price. 2. Mixture…

Partnership Formulas 1. Basic Profit Sharing Formula Partner’s Share of Profit = Partner’s Investment × Time Period Total Investment × Time Period The profit is divided based on the ratio of investment and time. 2. Equal Time Investment Formula Profit…

Pipe and Cistern Formulas 1. Work Done by Pipes Formula Work = Rate of Work × Time The total work done is the product of the rate and time. 2. Time Taken Formula Time = Work Rate of Work The…

Time and Work Formulas 1. Work Done Formula Work = Time × Rate of Work The total work done is the product of time and rate of work. 2. Time Taken Formula Time = Work Rate of Work The time…

Time and Work Formulas 1. Work Formula Work = Time × Rate of Work Work is the product of the time taken and the rate at which the work is done. 2. Rate of Work Formula Rate of Work =…

Speed and Distance Formulas 1. Speed Formula Speed = Distance Time Speed is calculated as distance traveled divided by the time taken. 2. Distance Formula Distance = Speed × Time Distance is the product of speed and time. 3. Time…

Profit and Loss Formulas 1. Profit Formula Profit = Selling Price – Cost Price The profit is the amount gained when the selling price is greater than the cost price. 2. Loss Formula Loss = Cost Price – Selling Price…

Simple and Compound Interest Formulas 1. Simple Interest (SI) SI = P × R × T 100 Simple interest is calculated using the principal amount (P), rate of interest per annum (R), and time (T) in years. 2. Total Amount…

Ratio and Proportion Formulas 1. Basic Ratio Formula Ratio = Part 1 Part 2 The ratio represents the relationship between two quantities by division. 2. Proportion Formula a : b :: c : d → a × d = b…