Trick to remember the name of G-8 Countries.

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.

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Important Maths Formulas .

(a ± b) 2 = a 2 ± 2ab + b 2 .


(a + b + c) 2 = a 2 + b 2 + c 2 + 2(ab + bc + ca).


(a + b + c + d) 2 = a 2 + b 2 + c 2 + d 2 + 2(ab + ac + ad + bc + bd + cd) .


Geometry formulas .

Perimeter ( ചുറ്റളവ് ) .


Perimeter of a square: P=4a.

    a: length of one side.


Perimeter of a rectangle: P=2(l+w).

    l: length.

    w: width.


Perimeter of a triangle: P=a+b+c.

    a, b, and c: lengths of the 3 sides.


Area ( വിസ്തീര്‍ണ്ണം ) .
LINE_FE...

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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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