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Percentage Short Tricks
32% of 25 = 25% of 32 = 8 (much easier!)
If a number increases by a% then decreases by b%, net change = a - b - (a*b)/100
Example: +20% then -20% = 20 - 20 - (400/100) = -4%
Profit & Loss Tricks
If a dealer sells at CP but uses false weight, Gain% = (Error/(True Value - Error))*100
If two articles sold at same price, one at x% profit and other at x% loss, Net Loss% = x^2/100
Simple & Compound Interest
SI = (PRT)/100. If P = 100, SI for 1 year at R% = R.
CI for 2 years at R% = 2R + R^2/100
CI for 3 years at R% = 3R + 3R^2/100 + R^3/10000
Ratio & Proportion
If a/b = c/d, then (a+b)/(a-b) = (c+d)/(c-d)
If a:b = b:c, then c = b^2/a
Time-Speed-Distance Tricks
If same distance at x kmph and y kmph, Average speed = 2xy/(x+y)
Same direction: x-y. Opposite direction: x+y.
Time & Work
If A does work in 10 days, B in 15 days. LCM = 30. A=3 units/day, B=2 units/day. Together = 5 units/day. Time = 30/5 = 6 days.
If m1 men do w1 work in d1 days, m2 men do w2 work in d2 days: m1d1/w1 = m2d2/w2
Number System Tricks
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By 7: Double last digit, subtract from rest. Repeat.
By 11: (Sum of odd place digits) - (Sum of even place digits) = 0 or divisible by 11
By 13: Add 4 times last digit to rest. Repeat.
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Last updated: June 02, 2026. Call +91-9804490328.
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Last updated: . For coaching and doubts, contactShortcut Maths, Jadavpur, Kolkata 700032. Call+91-9804490328.
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