Mathsmell

Pehle he, hum simple interest ki bare me jaan chuka hu. Aur ab hum janege compound interest kya hai aur isko kaise solve kiye jata hai. Mann ligiye ek aadmi ne dusra aadmi se fixed time ke liye kuch paise lete hai, lekin 1 year pure honeke baad paise uppas nahi kiye jata.Tube interest ko principal ki sath jor diye jate hai aur interest ke v interest liye jate hai. or aise he chalta rehte hai. Suppose, Maine 100 rupee 10% compound interest me liye. one year baad maine paise oppas nahi kiye. aur mujhe 1 year ki simple interest 10% rate se 110 rupees hote hai. Next year principal 110 rupees hote he or isse he chalta rehte he. Last me original principal aur compound interest ki differenceko compound interest kehte hai. Compound interest me kya kya symbol use kiye jata he? Compound interest ko C.I. se denote kiye jate he or principal ko P se, Time ko T se, Rate ko R se and Amount ko A se denote kiye jate hai. C.I. ki important formula: Amount (A) = P(1 + R/100)^T.   Compo...

Simple interest kya he ? Interest ke bare me humne phele hi jan chuka hu ki jab koi Addmi  dusrea koi addmi se kuch samai ke liye paise lete he, or paise returns karte samai kuch extra paise dena parta he, iss extra paise ko interest kehte he, agar interest hamesa same for same period, isse simple interest kehte he. Simple interest ko S.I. se denote kiye jata he or principal ko P, time ko T, rate percent ko R se denote kiye jata hai. Simple interest ki Formula:  Simple interest(S.I) = (P x T x R)/100   Time(T) = (S.I x 100)  / (P x R)   Principal(P) = (S.I x 100) / (T x R)   Interest Rate(R) = (S.I x 100) / (P x T) Simple interest ki problem yese v easy hote hai sirf day ki problem ko chorke. Day ke problem soln karne me thora bahut time lagte hai. Agar app ne niche diye gaye chat ko yaad karliye to day ki problem bahut he kam samai me solve karshakte he. Month (2 - 3) = 73 Days = 1/5 Years.   Month (3 - 5) = 174 Days = 2/5 Years. ...

Hello Dosto, Aaj hum Interest ki bare me discuss karenge. Sabse phele janna cahiye ki interest kya hai? To suru karte hai, jab koi man dusre man se kuch paise udhar lete hai and jab o paise oppas karte he tube kuch paise extra denna parte hai, us extra paise ko interest kehte he. Ab hum janenge interest kitne type ke hote hai? Generally hum sab jante he ki interest two type ke hote hai ek simple interest dusra Compound Interest. Dosto hum jangaye ki interest kya hai and interest kitne type ke hote hai. Ab janege Interest related kuch important definition ke bare me. Principal: Mann ligiye Ram ne Laxman ko Rs.2500 uddar diye, yeha principal Rs.2500. because Ram, Laxman ko jitne rupee uddar diye he, usse  principal kehte he. Amount: app ne dekha ki Ram, Laxman ko Rs.2500 diye, jab laxman rupee oppas karrahe he tube Rs.500 interest dete hai to Amount hua Rs.2500 + Rs.500 = 3000. Amount = Principal + interest. ? Rate: Agar Rs.100 ke 1 year me interest 5 rupee hua to h...

TRICK(1): y%  of x = xy / 100. Example: 20% of 50 = ? soln: 50 X 20/100 = 10 TRICK(2): Represent y in the form of percentage of x is x/y X 100. Example: What percentage of 20 is 30? soln: 30/20 X 100 = 150%. TRICK(3): If A is x% more than B, then B is how much percentage less than A, (x/100-x) X 100%. Example: If the amount of A is 25% more than the amount of B then the amount of B is how much less than the amount of A? Soln: (25/ 100  +25) X 100 = 100/5 = 20%. TRICK(4) : If A is x% less than B , then how much more is B than A?   Example: If the amount of Ram is 20% less than Shyam then how much more amount of Shyam than the amount of Ram? Soln: (20/100-20) X 100 20/80= 25% more. TRICK(5): If the price of a commodity increases by x%, then reduction in consumption as not to increase the expenditure is [x/(100+x) X 100 ]. I the price of a commodity decreases by x%, then the increase in consumption as not to decrease the expenditure is [x/(100-x ...

Hello Friends, Profit and Loss  kya hai , jiske bare me mene pehle  he jankari hasil karliye hai, profit and loss mathematics ki important topic hai, Aaj hum Isse blog me profit aur loss ki  important tricks ki bare me jankari hasil karenge, isse ke help se hum profit and loss ke questions easily solve kar shakte hai aur samai v bacha shakte he. Profit and Loss Tricks: Trick(1): Agar x articles ke cost price y articles ke selling price ki equal hua to  Profit% = [(x-y)/y X 100]%, x>y and Loss% = [(y-x)/y X 100]%, y>x. Example1: Mann legiye 25 articles ke cost price 20 articles ke selling price ke barabar hai, yesme profit percent kya hoga. profit% = [(25-20)/20 X 100]% = (5/20) X 100 = 25%, x>y Example2:  12 articles ke cost price 16 articles ke selling price ki barabar hai,loss percent kya hai? loss% = [(16-12)/16 X 100] = (4/16) X 100 =25%, y>x. Trick(2): Agar y articles ke cost price x rupees and x articles ke selling price y ru...

Cost Price: The amount paid to an article is called cost price and it is denoted by CP. Selling Price: The amount at which an article is sold is called selling price and it is denoted by SP. Profit or Gain: If SP is greater than CP , then seller is said to have a profit or gain and it is equal to (SP - CP). Loss: If SP is less than CP, then the seller is said to have a loss and it is equal to (CP - SP). Marked Price: MRP of an article is called marked price it is denoted by MP NOTE: Profit and loss are counted on CP. cp is 100%  in the case of profit and loss. Discount always carried on MP. MP is 100% in the case of discount. Important Formulae: Profit(P) = SP - CP. Loss (L) = CP - SP. CP = SP + Profit(P) or CP = SP - Loss(L). Gain% = Gain X 100 / CP Loss% = Loss X 100 / CP.

First, we know that , what is percentage? Percentage is made up of two words ( per + cent ). The term percent means "for every hundred". It can be defined as " Percentage is a fraction whose denominator is always 100". Percentage is denoted by the symbol  % . i.e., 5/100 = 5%, 8/100 = 8% . Change of fraction into percentage: Multiply 100 with fraction to change into percentage . i.e., 1/5 = 1/5 X 100 = 20%, 1/10 = 1/10 X 100 = 10%, etc. Change percentage into fraction: Divide by 100 or multiply by 1/100 in percentage to change into fraction. i.e., 25% = 25/100 = 1/4, 20% = 20/100 = 1/5, etc. Change decimal fraction into percentage: Multiply 100 with decimal fraction to change into percentage. i.e., 0.25 = 0.25 X 100 = 25%, 0.02 = 0.02 X 100 = 2%, etc. Change percentage into decimal fraction: Divide by 100 or multiply by 1/100 in percentage to change into decimal fraction; i.e., 25% = 25/100 = 0.25, 30% = 30/100 = 0.30, etc.

 MEMORABLE FACTS-4 : Symbol (:) is called ratio and the symbol (::) is called proportional. Ratio is pure number, it has no units in itself. Ratio is not possible between two odd quantities. If the ratio of first and last terms are co-prime, then the ratio is called simple ratio, i.e., 2:3, 3:4, 5:7 etc. are called simple ratio. Ratio is commensurable. The two quantities compared in a ratio must be expressed in the same unit. When four quantities are proportional, then product of the extreme terms = product of the mean terms. The triplicate ratio of a : b : c will be a^3 : b^3 : c^3 .

RATIO: The symbol of ratio is (:). So, a ratio b is written as a : b or  a/b. The first term of ratio is called antecedent and the 2nd term is called consequent. PROPORTION: Proportion is the same of ratio and is denoted by the symbol ''::'' . So if a : b and c : d are equal then it is written as a : b :: c : d . INVERSE RATIO: If a : b is any ratio, then (1/a : 1/b) is called inverse or reciprocal ratio. COMPLEX RATIO: The product of the first term of two or more than two ratio, and product of their last term and ratio of these two products is called complex ratio.i.e., a : b, c : d, c : f. So, complex ratio will be ( a x c x e ) : ( b x d x f ). IMPORTANT FORMULAE :- If a : b :: c : d =>  a/b = c/d => a x d = b x d. If fourth proportional of three numbers a, b and c is 'd' then a : b :: c : d => a x d = b x c => d = (bc/a). If third proportional of two numbers a and b is c, then a : b :: b : c => a x c = b^2 => c =( b^2/a ). ...

There are two method to find square root: By factorisation method and Division method. But we find the square root in given method: Find the square root of 2601 ? Rules: For unit place of the answer we see that last digit of the question.i.e., 1. For the ten's place of the answer we always take smaller number whose square is most nearest to 26. i.e., 5. In the above method we find the two answers. i.e., 51 and 59. we multiply ten digit number to next number i.e. 5 X 6 = 30. Now compare 26 to 30 , we find that 26 is less than 30. Therefore in both the answers  51 and 59 the least answer is correct.

Hello friend,Mathsmell maths tricks in hindi me aapka swagat hai. Aaj hum janenge square and square root kya hai basic jankari hindi me.iss post me aap janpayenge square and square root meaning in hindi aur general method me square and square root kaise nikalte hai. Dosto, Hum sab jante hai ki square and square root of a numbers competitive exams ke liye most important part hai. hum log exams me puche gaye square and square root ki questions ko maths fast calculation shortcut tricks se solve karte hai lekin friend maths short tricks se questions ki solution karne se pehle basic concept bhi janna bahut hi jaruri hote hai. Isliye dosto iss post ko dhyan se pura padhe taki aap ache se square and square root ki bare me jan paye. Meaning of square in hindi : Sabse pehle hum janye hai square hote kya hai, Friend square ko hindi me "VARGO" kahate hai.Square ka matlab hote hai kisi bhi numbers ko 2-bar multiply karna. Jaise 4 ki square = 4 X 4 = 16 5 ki square = 5...

Memorable Facts (2): Two or more than two number cannot be larger than the LCM of those number HCF co-prime numbers is always 1 . If one number is a factor of other number the smaller number is HCF of it self. More than one factor of 1 cannot be possible so it is not a prime number. The number 1 is neither a prime number nor an even number. Least common multiple is equal to the LCM of two or more than two number. If one number is a multiple of the other then the LCM is always the larger number. There is no change in fraction if the same number is multiplied or divided by the numerator and denominator of a fraction. If numerator and denominator of any fraction is the same , the value of fraction is 1. If numerator of any fraction is zero, than the value of fraction is also zero. In any fraction, denominator never assumes zero, but if denominator of fraction is zero then the value of fraction is infinite. If numerator and denominator of any fraction is 1, then the value ...

First of all we know that, what is simplification? The word VBODMAS and the  simplification of fraction is done in the order of letters used in the word. VBODMAS: Meaning of VBODMAS is given below V = Vinculum [ Bar Bracket ] B = Bracket O = Of D = Division M = Multiplication A = Addition S = Subtraction  Brackets  are four types:  Bar Bracket Small Bracket, ( ) Middle or curly Bracket , { } Big Bracket, [ ].

Hello friends, Mathsmell maths tricks in hindi me apka swahat hai. Aaj mai apko multiplication ki some special fast multiplication tricks batane wala hu. Jaise ki aap sabhi ko pata hai ssc,bank po, cgl and others competition exam me multiplication k questions directly or indirectly me jarur puche jate hai. Multiplication shikhane ka sabse important baat hai ki pura multiplication table ache se yaad hona chahiye. Dosto hum sab multiplication ko general method me solve karte hai. aur iske liye kam se kam 10 tak multiplication tables yaad rakhna hai aur isme time bhi bahut he jada lagta hai. Iss post me mai apko multiplication ki kuch important and special multiplication tricks batane wala hu. Multiplication ke kuch special rules: SOME SPECIAL TRICKS: When sum of unit digit is 10 and remaining digit is same. Agar unit digit ki sum 10 hai and remaining digit same to 2 digit number ki gunna karne ki tarika. Sabse phele same digit ke sath 1 add karke same digit ke...

LCM and HCF babut hi important topics hai,bahut sare competitive exam me 2 ya 3 question ate hai.aaj hum isse ki bare me jankari hasil karenge. LCM and HCF ki meaning kya hai?  L.C.M  ki meaning hai least common multiple aur  H.C.F ki meaning hai highest common factor or Greatest common measure (G.C.M ) Two ya isse jada numbers ki multiplication ko multiple kehte hai and usse number ko kehte hai factor. Example: Factor of 20 are 1, 2, 4, 5, 10, 20 . and multiple of 20 are 20, 40, 60, 80, 100 etc. Least Common Multiple (LCM): The LCM of two or more given number is the least number which is exactly divisible by each of them. Example: Find the LCM of 3, 4 and 6. Soln: Multiple of 3 = 3, 6,9,12,15,18,21,24,27,30.......          Multiple of 4 = 4,8,12,16,20,24,28........          Multiple of 6 = 6,12,18,24,30....... Since Common multiple of 3,4,6 are 12,24........ Therefore, lea...

FRACTION: If any unit be divided into any number of equal parts, one or more of these parts is called a fraction of unit. The fractions one-third, two-third are written as 1/5, 2/5 respectively. i.e. a/b is known as fraction in which a is called numerator and b is called denominator. study maths easy way Fraction = Numerator / Denominator KINDS OF FRACTION:   There are mainly three type of fraction  given as Proper Fraction, Improper Fraction and Mixed Fraction. Proper Fraction: If the numerator part of a fraction is less than denominator then the fraction is called proper fraction. Example:- 1/2, 3/4, 5/7 etc. are proper fraction. Improper Fraction: If the numerator of a fraction is greater than denominator, then the fraction is called improper fraction. Example:- 4/3, 6/5, 9/7 etc are improper fractions. Mixed Fraction: We know that an improper fraction is made up of a whole number and proper number. when an improper fraction is changed to consist...

DIVIDEND: The number which is divided  by the divisor is called dividend. study maths easy way DIVISOR: The number which is used to divide is called divisor. QUOTIENT : When ,The dividend divided by the divisor, then we obtain  the number is called quotient. R EMAINDER : We obtained remaining  number after division is called remainder. IMPORTANT FORMULAE : Dividend = Divisor  X  Quotient + Remainder Divisor = (Dividend  - Remainder) / Quotient  Quotient = (Dividend - Remainder) / Divisor  Remainder = Dividend - ( Divisor X Quotient ) SOME SPECIAL FOFMULAE  FOR DIVISION:  Inf any number is divided by 5, then that number multiplied by 2 and then divided  by 10.  Example: 648 / 5 = (648 X 2)10 = 129.6 If any number  is divided by 75, then that number  multiplied by 4 and divided by 3  Example:- 305 / 75 =(305 X  4) / 3 =4.