Tips and Ticks Time and Work Problems - Shortcut Tricks and Formulas


Tips and Ticks Time and Work Problems - Shortcut Tricks and Formulas

Problems Type 1:

A can finish work in X days.

B can finish work in Y days.


Both can finish in Z days = (X*Y) / (X+Y).


Problems Type 2:

Both A and B together can do work in T days.

A can do this work in X days.


then, B can do it in Y days = (X*T) / (X-T)


Problems Type 3:

A can finish work in X days.

B can finish work in Y days.

C can finish work in Z days.


Together they can do work in T days = (X*Y*Z)/ [(X*Y)+(Y*Z)+(X*Z)]


Problems Type 4:

A can finish work in X days.

B can finish work in Y days.


A*X = B*Y

Y = (A*X) / B


Problems Type 5:

A can finish work in X days.

B can finish work in Y days.


A left work after P days then B need to work Q days

Q = [(X - P) / X ] * Y

Problems Type 6:

M1 person can do W1 work in D1 days and H1 hours

M2 person can do W2 work in D2 days and H2 hours


M1D1H1 = M2D2H2

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Simple and Compound Interest Formula

P - Principal, the sum of money lent or borrowed. .

R - Rate of interest: Annual interest, often expressed as a percentage. .

T - Time period for which the money is lent or borrowed. .


Simple Interest = Principal * Time * Rate of interest / 100 .

SI = 4000× 8% × 4 =  4000× 0.08 × 4.

= 1280. .


In compound interest , the principal amount with interest after the first time period becomes the part of principal for the next time period.


CI =   [P (1 + R/100)^T] – P .

Total amount = [P (1 + R/100)^T] .


If time period is half-yearly, .

    Amount = P[1 + (R/2)/100]^2T .

If time period is quarterly, .

    Amount = P[1 + (R/4)/100...

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Trick to remember the name of G-8 Countries.

Code: ABC FIR GJ.

A : America .

B : Britain.

C : Canada.

F : France.

I : Italy.

R : Russia.

G : Germany.

J : Japan.

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Divisibility Rule

What is the divisibility by 2 Rule?.
Even numbers are multiples of 2. A number is even if ends in 0,2,4,6, or 8.
What is the divisibility by 3 rule?.
A number is divisible by 3 if the sum of its digits is divisible by 3.
372, for instance, is divisible by 3 since sum of its digits (3+7+2) is 12. And 12 is divisible by 3.
What is the divisibility by 4 rule?.
A number is divisible by 4 if the number\'s  last two digits are divisible by 4.
9,312, for instance, is divisible by 4 since its last 2 digits are 12. And 12 is divisible by 4.
What is the divisibility by 5 rule?.
A number is divisible by 5 if its last digit is a 0 or 5.
What is the divisibility by 6 rule?.
Since 6 is a multiple of 2 and 3, the rules for divisibility by 6 are a combination of the rule for 2 and the rule for   3.
Divisibility by 8 Rule.
A number passes the test for 8 if the las...

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