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PERCENTAGES CONCEPTS,FORMULAS,DEFINITIONS,EXAMPLES,TRICKS

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    PERCENTAGES is very important chapter for all  competitive  exam and everything is included in it like all Problems on percentages,  fractions and percentages, price change,result and population,results on depreciation,comparison of percentages,successive increase and decrease etc. Percentages The Percentage is a fraction whose denominator is always 100. The percentage sign is %. Example -   7% can be converted to a fraction as 7/100 = 0.07   If, we want to calculate P% of Q, then    Percentage Formula:-      P% of Q =  Q× P/100 Qes.  If 30% of x = 60, then find the value of P. Soln .      x × 30/100 = 60 ⇒ x = 60 × 100/30 ⇒ x = 200. Fractions and Percentages To express Y % as a fraction,    Y% = Y/100   As -  30% = 30/100 = 3/10          98% = 98/100 = 49/50 To Express X/Y as a percentage we can say,   X/Y = (X/Y × 100) % ...

NUMBER SYSTEM CONCEPTS,FORMULAS,DEFINITIONS,EXAMPLES,TRICKS PART-1

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number system is very important chapter for all  competitive  exam . everything is included in it like all numbers,some special number,divisibility concept,unit digit,divisibility remainder concept,decimal and number of factor,key to remainder concept,lcm and hcf etc. Number System:- 1)  Natural Number :-  All counting numbers are called natural numbers and it is denoted by N or number used for counting.   Example: {1, 2, 3, 4..infinity)  2)  Whole Number :-  The set of all natural number together with zero are called whole numbers and it is denoted by W or from zero to infinity.  Example:-  (0, 1, 2, 3, 4.....) 3)   Integer :-  The set of all natural numbers, zero and negative of all natural numbers are called integers and it is denoted by I and Z or all positive to negative number. Example:  ......-6,-5, -4,-3, -2, -1, 0, 1, 2, 3, 4,5,6.... * Negative integer is denoted by ={.....-5,-4,-3, -2, -1} *Positive integer is de...