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Veto q&a 7 Month22 (1)

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2018<br />

May<br />

• Gain %<br />

Gain × 100<br />

=<br />

Cost Price<br />

•<br />

100 + Gain% Selling Price =<br />

x Cost Price<br />

100<br />

•<br />

100<br />

Cost Price = =<br />

x selling price<br />

100 + Gain%<br />

• Loss = Cost Price - Selling Price<br />

Loss × 100<br />

• Loss % = =<br />

Cost Price<br />

−<br />

• Selling Price = 100 Loss % x Cost Price<br />

100<br />

100<br />

• Cost Price =<br />

x Selling Price<br />

100 − Loss%<br />

WoRK anD Time<br />

• If A can do a piece of work in ‘n’ days, then A’s<br />

1<br />

one day’s work =<br />

n<br />

• If A can do a piece of work in ‘a’ days and B can<br />

do the same work in ‘b’ days, then both A and B<br />

ab<br />

together can finish the work in days<br />

a+<br />

b<br />

• If A and B can together finish a job in ‘a’ days and<br />

B alone can finish the same job in ‘b’ days, then,<br />

ab<br />

A alone can finish the job in days<br />

a−<br />

b<br />

• If A can finish a work in ‘a’ days, B can finish<br />

it in ‘b’ days and C can finish it in ‘c’ days<br />

then A, B & C together can finish the work<br />

abc<br />

i n<br />

days<br />

ab + bc + ac<br />

• If A men or B women can finish a work in C days,<br />

then ‘a’men and ‘b’ women can finish the same<br />

ABC<br />

work in days<br />

Ab + Ba<br />

PiPeS anD ciSTeRn<br />

• Pipe A can fill the tank in ‘a’ hours where as pipe<br />

B can fill the tank in ‘b’ hours, if both the pipes<br />

ab<br />

are opened together the tank will be filled<br />

in hours<br />

a+<br />

b<br />

• Pipe A can fill the tank in ‘a’ hours where as pipe<br />

B can empty the tank in ‘b’ hours, if both the pipes<br />

ab<br />

are opened together, the tank will be filled<br />

a−<br />

b<br />

in hours<br />

SPeeD, DiSTance anD Time<br />

Dis tance<br />

• Speed =<br />

Time<br />

• If A and B covers equal distance at different<br />

speeds ‘a km/hr’ and ‘b km/hr’ respectively. Then<br />

2ab<br />

the Average Speed =<br />

a + b<br />

⎛ ⎞<br />

• x km/hr = ⎜ × ⎟m/sec<br />

⎝ 18 ⎠<br />

⎛ 18 ⎞<br />

• x m/sec = ⎜x<br />

× ⎟ km/hr<br />

⎝ 5 ⎠<br />

RelaTiVe SPeeD<br />

• If two bodies moves in the same direction with<br />

speeds S1 and S2 then Relative Speed = S1 - S2<br />

• If two bodies moves in the opposite direction with<br />

speeds S1 and S2 then Relative Speed = S1+ S2<br />

TRain<br />

• If two trains of lengths L1 and L2 are moving in<br />

opposite directions at speeds S1 and S2, then the<br />

time taken by the trains to cross each other<br />

L1+<br />

L2<br />

=<br />

S1+<br />

S2<br />

• If two trains of lengths L1 and L2 are moving in<br />

same direction at speeds S1 and S2, then the<br />

time taken by the faster train to cross the slower<br />

L1+<br />

L2<br />

train =<br />

S − S<br />

1 2<br />

BoaTS anD STReamS<br />

@hang out<br />

• In water, the direction along the stream is called<br />

down stream and the direction against the<br />

stream is called upstream<br />

• If the speed of a boat in still water is ‘a km/hr’ and<br />

the speed of the stream is ‘b km/hr’, then<br />

56 Q&AUbdn current affairs & gk<br />

www.vetopsc.org<br />

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