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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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PROBLEMS ON AGES,IMPORTANT QUESTIONS BASED ON AGES CONCEPTS

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PROBLEMS ON AGES is very important chapter for all  competitive  exam and everything is included in it like all Problems on Ages,types of question and some important qes. PROBLEMS ON AGES Problems based on ages in past, present or future of two or more persons and we will find required information by using these given information.   Types of Questions:   Ratio and Sum of ages given * If the ratio of present age of P and Q is x : y and their sum of present age is A         then        P = [ x / (x+y) ]× A        Q = [ x / (x+y) ]× A Qes.  If the ratio of present age of Alok and Khushi is 8 : 5 and their sum of present age is 52 years, find the present age of Alok? Soln.     Let, age of Alok be 8x and age of Khushi be 5x            Then, sum of both ages = 8x + 5x = 13x ⇒ 13x = 52 ⇒ x = 4 years ∴ Age of Alok = 4x = 4 × 4 = 16 years Alternate solutio...
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