Tips and Ticks Simple and Compound Interest Formula


Tips and Ticks 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 = P * T * R


For example, Principal is 4000, Rate of Interest is 8% and Time period is 4 years

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]^4T


For example,   Principal is 7500, Rate of Interest is 4% (compounded annually) and Time period is 2 years

Total Amount = [7500×(1+4/100)^2] = 8112.

CI = (8112 - 7500) = 612.

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Problems on Train with Explanation and Shortcuts

Formula :  .

Train Speed = Distance / Time.


Points to Remember .

To change km/hr into m/sec, we need to multiply it by 5 / 18. .

Example:.

90 km/hr means.

90 x 5 / 18.

= (5 x 5 ).

= 25 m/sec.

And if we need to convert m/sec into km/hr, we multiply it by 18 / 5.

Example:.

90 m/sec means.

90 x 18 / 5.

= ( 18 x 18 ).

= 324 km/hr.

Time taken by a train of length l meters to pass a pole or standing man or a signal post is equal to the time taken by the train to cover l meters.
Time taken by a train of length l meters to pass a stationary object of length b meters is the time taken by the train to cover (l + b) meters.
Suppose two trains or two objects bodies are mo...

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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.

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Important Maths Formulas ( പ്രധാനപ്പെട്ട ഗണിത സൂത്രവാക്യങ്ങൾ )

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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