General Arithmetic Paper.1. Question 1 for Year 1998.

Q.1. (a) When a cyclist had travelled a distance of 12.6kms
              he had completed 3/7 of his journey.
             What was the length of the journey ?

Ans :

               If 12.6kms               =   3/7 of the journey, then

                 4.2kms                     =   1/7 of the journey.

                 => 7 * 4.2kms         =   7/7 of the journey.

                 => 29.4 kms             =    length of the journey.

(b)

           (i)       At what rate of interest will IR£2000 amount to IR£2065
                     after one year ?.

        Ans :

                       Interest at end of year 1             =       £65

                        =>      Interest Rate                    =      ( 65 / 2000 ) * 100

                        =>      Interest Rate                    =      3.25%

           (ii)       Divide 357 grammes in the ratio 1/2 : 1/4 : 1 .

                       Ratios    =   1/2 : 1/4 : 1  =  2 : 1 : 4

                       =>                There are 7 parts

                       =>                One part = 357 / 7     =   51

   =>                Ratios are ( 2 * 51 ) : ( 1 * 51 ) : ( 4 * 51 )

   =>                Ratios are 102 : 51 : 204

(c)         A supplier agrees to buy 300 computer parts for 1060 DM each.
                  He plans to sell them for £138,000.

          (i)     Calculate the % profit ( on the cost price ) he will make
                  if the exchange rate is £1 = DM2.65.

           Ans :

                  Cost Price in DM        =   300 * 1060 DM         =  318000 DM.
                  Selling Price in DM     =   2.65 * 138000 DM    =  365700 DM.

                  =>      Profit in DM      =   47700 DM

                  =>      % Profit             =   ( 47700 / 318000 ) * 100%


                  =>      % Profit     =   15%

           (ii)    By how much will the % profit (on the cost price)
                  change if the exchange rate becomes
                    IR£1 = DM 2.50 ?
                  Give your answer correct to one place of decimals.

                 Cost Price in DM        =   300 * 1060 DM         =  318000 DM.

                 Selling Price in DM     =   2.50 * 138000 DM    =  345000 DM.

                 =>      Profit in DM      =   27000 DM

                 =>      % Profit             =   ( 27000 / 318000 ) * 100%

                 =>      % Profit     =   8.49%

                 =>      Change in % Profit     =   6.5%