Complete Numerical Aptitude Formula Sheet

Understanding percentage fractions is key to solving DI and Simplification questions fast. Key equivalents: 1/2 = 50%, 1/3 = 33.33%, 1/4 = 25%, 1/5 = 20%, 1/6 = 16.67%, 1/7 = 14.28%, 1/8 = 12.5%, 1/9 = 11.11%, 1/11 = 9.09%, 1/12 = 8.33%.

• Profit = Selling Price (SP) - Cost Price (CP) • Loss = CP - SP • Profit % = (Profit / CP) * 100 • Loss % = (Loss / CP) * 100 • Marked Price (MP) = CP + Markup • Discount = MP - SP • Discount % = (Discount / MP) * 100 • SP = MP * (100 - Discount%) / 100.

• Simple Interest (SI) = (P * R * T) / 100 • Amount (Simple Interest) = P + SI • Compound Interest (CI) = P * [ (1 + R/100)^T - 1 ] • Amount (Compound Interest) = P * (1 + R/100)^T • Difference between CI and SI for 2 Years = P * (R / 100)^2 • Difference between CI and SI for 3 Years = P * (R / 100)^2 * (3 + R/100).

• Speed = Distance / Time • Convert km/hr to m/s: Multiply by 5/18 • Convert m/s to km/hr: Multiply by 18/5 • Average Speed (when distances are equal) = 2xy / (x + y), where x and y are the two speeds. • Relative Speed (same direction) = u - v (where u > v) • Relative Speed (opposite direction) = u + v.

• Work = Efficiency * Time • If A does a piece of work in D1 days and B in D2 days, then together they do it in (D1 * D2) / (D1 + D2) days. • MDH Formula: (M1 * D1 * H1) / W1 = (M2 * D2 * H2) / W2, where M = Men, D = Days, H = Hours, W = Work.