Speed is everything in SSC and Bank quant. These shortcuts cut calculation time on the most-asked topics. From Veda Topper International, Irinjalakuda.
Percentages & fractions
- Learn fraction–percent equivalents: 1/2=50%, 1/3≈33.3%, 1/4=25%, 1/8=12.5%, 1/6≈16.6%, 1/7≈14.28%.
- x% of y = y% of x (e.g., 8% of 50 = 50% of 8 = 4).
- Successive change a% then b%: net = a + b + (ab/100).
- Price up x% then down x%: net change = −x²/100 (always a loss).
Ratio, average & ages
- If a:b and b:c are known, make b common to get a:b:c.
- Average of consecutive numbers = (first + last)/2.
- When a new value joins and the average changes, use total = average × count.
- Ages "n years ago/hence" — set present age as a variable and form one equation.
Time–work & pipes
- If A does a job in x days, A's one-day work = 1/x. Add rates for combined work.
- A in x days, B in y days → together = xy/(x+y) days.
- Work–time–efficiency are inversely related; use the LCM method for total units of work.
- Pipes: inlet positive, outlet negative — same as time-work.
Speed–distance–time
- Speed = distance / time. Convert km/h → m/s by × 5/18; m/s → km/h by × 18/5.
- Average speed (equal distances) = 2xy/(x+y).
- Trains crossing a pole: length/speed; crossing a platform: (length+platform)/speed.
- Relative speed: same direction → subtract; opposite → add.
Profit, loss & interest
- Profit% = (SP−CP)/CP × 100. SP = CP × (100±profit%)/100.
- Two items sold at same price, one at +x% and one at −x%: overall loss = x²/100.
- Simple Interest = P·R·T/100.
- Compound Interest (annual) = P(1 + R/100)ᵀ − P. For 2 years, CI − SI = P(R/100)².
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