# Percentage Notes & Question Tricks

Contents

## 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

1. Express x% as a fraction : x/100.
2. Express x/y as a percentage : x/y*100.
3. If the price of a commodity increases by R%, then reduction in consumption as not to increase the expenditure is- [ R/(100+R)×100 ] %.
4. If the price of a commodity decreases by R%, then increase in consumption as not to decrease the expenditure is-[ R/(100-R)×100 ] %.
5. 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

Also Read:  IBPS Pronouns Notes for Bank Exam

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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