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## Percentage Tips,Tricks & Shortcut

There is an important topic for the **bank job** is “**Percentage**” .Some are the important formula related from this subject.Also see the proper examples with explanations.This is the important topic for the IBPS Clerk and IBPS PO. Candidates preparing for **IBPS bank exam **can also download these “**must have notes**” in the **PDF** format.

### What is percentage(परसेंटेज )

A percentage is a number or ratio expressed as a fraction of 100.It is denoted by %(percent sign).It is a dimensionless number.If we express the percentage is x%.

### Formulas for percentage

- Express x% as a fraction : x/100.
- Express x/y as a percentage : x/y*100.
- If the price of a commodity increases by R%, then reduction in consumption as not to increase the expenditure is- [
^{R}/_{(100+R)}×100 ] %. - If the price of a commodity decreases by R%, then increase in consumption as not to decrease the expenditure is-[
^{R}/_{(100-}_{R)}×100 ] %. -
Result on Population

Let the population of a town be P now and suppose increases the rate of R% per annum, then :

Population after n years = P ( 1+^{R}/100 )^{n}Population n years ago =^{P}/_{( 1+ R/100 )n.}

6. Result on Depreciation

Let the present value of a machine be P. Suppose depreciates at the rate of R% per annum,then

Value of the machine after n Years = P ( 1- ^{R}/100 )^{n}

Value of the machine n years ago = ^{P} /_{( 1- R/100 )n}

If A is R% more than B, then B is less than A by [ ^{R}/_{(100+R)}×100 ]%

If A is R% less than B, then B is more than A by [ ^{R}/_{(100-R)}×100 ]%

Net % change = x + y + xy/100

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