If the basic salary of an employee is Rs. 37000 and allowances are Rs. 22,000.
  What is the taxable income of employee?
   
  Solution
   
  Basic Salary                                                                                                                Rs.37000
  Allowances                                                                                                                 Rs. 22000
  % of Allowances                                 (22,000 / 37000) x100 = 59.50%
  Allowed non-taxable Allowance        (50% = 0.5 x 37000 = 18500)
  Taxable Allowances                            (59.50% - 50%)
                                      (22000 - 18500)                                              Rs.  3500
  Hence 3,500 Rs. of allowances are taxable.
  Total Taxable Income                         (37000 + 3500)                                               Rs.40500         
   
   
  Question 2:
   
  If the salary and allowances of an employee is as follows:
  Basic salary = Rs. 12,000 
  House Rent Allowance = 45%
  Conveyance Allowance = 5%
  Utilities Allowance = 7%
  Group Insurance/Medical = 0%
  Misc. Social Charges = 5.8%
  There are 12 casual, 24 earned and no sick leaves per year where as normal working days per month are 26. Find the Gross remuneration of the employee.
   
   
   
  Solution
                                                                                                  Rs.                               Rs.
  Basic Salary                                                                                                    12,000
  Allowances:                                                    
                          House Rent     45%     (Calculation # 1)         Rs. 5,400
                          Conveyance    5%       (Calculation 2)            Rs. 600            
                          Utilities           7%       (Calculation # 3)         Rs. 840
  Total Allowances                                                                                              6,840
  Gross Salary                                                                                                    18,840
  Misc. Social Charges   5.8%    (Calculation # 4)                                                1,093
  Leaves Cost                            (Calculation # 5)                                             26,086
  Gross Remuneration                                                                                     46,019
   
  Additional Working
   
  Calculation # 1                       
  H. R. Allowance 45% of Basic Salary
                          =          (45 / 100) x 12,000      =          Rs. 5,400 
  Calculation # 2                       
  Conveyance Allowance 5% of Basic Salary
                          =          (5 / 100) x 12,000        =          Rs. 600
  Calculation # 3                       
  Utilities Allowances 7% of Basic Salary
                          =          (7 / 100) x 12,000        =          Rs. 840
  Calculation # 4                       
  Misc. Social Charges 5.8% of Gross Salary
                          =          (58 / 1000) x 18,840    =          1,092.72   or Rs. 1,093
  Calculation # 5                       
  Cost of Leaves
  Causal             =          (12 / 26) x 18,840        =          8,695.38   or     8,695   Rs.
  Earned             =          (24 / 26) x 18,840        =        17,390.77   or   17,391   Rs.
  Total cost of leaves                                        =          26,086   Rs.
   
  Question 3:
   
  A trade discount series of 20, 10, and 5 is offered on an item which has a list price of Rs. 9100. Find the amount of discount and the net price.
   
  Solution 
                                                                                      Rs.
  List Price                     =          9,100
  Here                            Discount1                    =          20%
                                      Discount 2                   =          10%
                                      Discount 3                   =            5%
  Net Price         =          L (1 – d1) (1 – d2) (1 – d3)
                                                              =          9,100 (1 – 0.2) (1 – 0.1) (1 – 0.05)
                                                              =          9,100 (0.8) (0.9) (0.95)
                                                              =          9,100 (0.984)
  Net Price        =          Rs.6, 224.4
  Discount          =          List Price - Net Price
                                                              =          9,100 - 6,224.4
  Discount         =          2,875.6
   
  Question 4: 
   
  If your goal is to have an amount of 325000 in seven years and you can get interest rate of 9% per annum compounded annually. How much would you need to invest now?
   
  Solution 
   
  Compound Amount    S          =          Rs. 325,000
  Rate of Interest           r           =          9 %      =          0.09
  Number of Periods      n          =          7 years
  Principal Amount        P          =          ?
                                                                          S          =          P (1+r) ^n
                                                              325,000           =          P (1 + 0.09) ^7   
                                                              325,000           =          P (1.09) ^7
                                                              325,000           =          P (1.82804)
  Dividing both side by   1.82804
  325,000 / 1.82804       =          P
                                                  177,786.04      =          P
  So the Principal amount need to invest now           =          Rs. 177,786.04
   
  Question 5:
   
  If you start saving Rs. 28,000 at the end of each six month, and you get interest rate 11% (per annum) compounded semi-annually, how much will you have accumulated at the end of 20 years?
  Solution 
  Amount of Annuity per period           C         =          Rs. 28,000   
  Rate of Interest                                   i           =          11 % p.a
                                                                                      =          5.5 %   =          0.055 semi-annually
  Number of Payment                            n          =          20 yearly         =    40  semi-annually  
  Accumulated Value of Annuity         S          =          ?
                                                                          S          =          C * ((1 + i) ^n – 1) / i
  S          =          28,000 * ((1 + .055) ^40 – 1) / 0.055
  S          =          28,000 * ((1.055) ^40 – 1) / 0.055
  S          =          28,000 * (8.51331 – 1) / 0.055
  S          =          28,000 (136.60564)
  So the Future Value or Accumulated Value of an ordinary annuity is
  S          =          Rs.3824957.92
   
  Question 6:
  The price of an item decreased from Rs. 856 to Rs.752. What is the percentage change in price of item?      
  Solution 
  Initial Price                  =          Rs. 856 
  Revised Price              =          Rs.752 
  Change                        =          Revised Price   -   Initial Price
                                                              =          752   -   856     =          Rs. - 104 
  Percentage of Change =          (Change / Initial Price) x 100
                                                              =          (- 104 / 856) x 100
                                                              =          - 12.1495 %
  So the price decreased by 12.1495 %
              
  Question # 7                                                                               
  Suppose you can afford to pay 9,000 per month on a loan.  How much can you borrow if the loan is for a period of 15 years and the interest rate is 5% per annum compounded monthly?
  Solution 
  Cash flow per period              C         =          9,000   Rs.
  Rate of Interest                       i           =          5 % p.a             = 0.004166667 p.m
  Number of Payment                n          =          15 year            =    180 month 
  Discounted Value of Annuity            S          =          ?
                                                  S          =          C * (1 - (1 + i)^-n) / i
                                                  S          =          9,000 * (1 - (1 .004166667)^-180) / 0.004166667
  S          =          9,000 * (1 - (.473103127) / 0.004166667
  S          =          9,000 * (.526896872) / 0.004166667
  S          =          9,000 * (126.45523937)
  S          =          Rs. 1,138,097.15
  So the Present Value or discounted Value of a loan is
  S          =          Rs. 1,138,097.15