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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) % ...
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NUMBER SYSTEM CONCEPTS,FORMULAS,DEFINITIONS,EXAMPLES,TRICKS PART-2

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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. UNIT DIGIT Unit digit is used to represent the "ones" place value of any number or product.  Example:- 12 x 10 = 120, '0' is the unit's digit in the given product. In competitive examination we get different types of questions of Unit digits like *  find the unit digit of (562)^44 *  find the unit digit of (4569)^927 x (7596)^44..... and soon. Find the unit digit of an exponential number First , divide the power of that number by 4 1.  Condition  (a):-  if you get the remainder zero then change the power of that number by 4. Example:  we have to find the unit digit of this number (3846)84, Step 1:  At first we have to divide 84 by 4 Step 2nd:  After dividing you will g...
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