SHORT CUT METHOD OF ARITHMATIC



SHORT CUT METHOD OF ARITHMATIC
Compound discount:
·         You can  calculate  compound interest  mentally
  Question    Find the compound interest on Rs 2500 @ 12% P.A. for two years 
                   
                     This  method is very useful if time is in  2 units  
     Step   1                First we add  rates    Let it be A
     Step   2                Multiply  rates and divide by 100 Let it be B   
     Step   3                Add A and B  It is our  compound interest rate percentage for two years .Take
                                 percentage
                                
                       12 + 12 +   12+ 12  )    =    24 + 1.44 = 25.44
                                                 100
                        
                            Find  25.44 % of 2500 and  that is compound interest
                               625  +  11  =636  ( Again consult  lesson no1 9 for fast percentage  calculations)
                               Rs  636 is our compound interest


  
Successive Discount:
·         Question  Find  the selling price of  a  saree  after two successive discounts of 20 % .If the  price of that saree is
                 Rs800
Conventional  Method     800 x  20    =  160               800- 160 = 640 
                                          100
                                    
                                      640 x  20    =  128               640 -128 = 512
                                         100
                                     Total discount    is    800 -512      =   Rs288
                                      Effective Discount is                     =   288 x 100
                                                                                                 800
                                                                                         =    36 %
           You  can calculate it mentally .How ?
  Step1   Here first we calculate effective  discount  . Add  both discounts   Let it is  A

  Step2  Multiply  both discount and divide by 100  .Let it be B
 Step3    Subtract B from A    .That is our effective discount
           
                      ( 20 + 20 )  - (      20 x 20     )
                                                    100
 
                          40  -  4    =   36  %
                     Now find 36%of Rs 800     
                      =       320 - 32 =288     How?    For fast percentage  calculations see  Lesson no 19 &20
                             Selling price  800 - 288 = Rs 512
Question          If  a trader gives 20 %  retailer  margin and 3 % cash discount  , find the total effective discount?
                          20 + 3  -     20 x 3
                                              100
                             23    - .6     = 22. 4 %    




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