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Monday, March 4, 2013

Civil Service Commission Professional or Sub-Professional Reviewer - Page 112/159

Mathematics Test V Solution - Page 112

Use the following table for questions no. 30 - 32.

TYPE OF VEHICLE - COST OF FUEL FOR 100 - KM TRIP
car - $ 500 motorcycle - $ 175
bus - $ 875 truck - $ 2,000
airplane - $ 3, 000

30. What is the cost of fuel for a 120-km trip by car?

Cost of fuel = 120 km x  $ 500  ----> 120 x $ 5  ----->  $ 600 *Ans.
                                    100 km


31. If the total wages of a bus driver for 100-km trip is $ 970, and the only cost for a bus are the fuel and the driver's wage. How much should a bus company charge to charter a bus with a driver for a 200-km trip in order to obtain 50% more than the cost?

Cost for a 100-km trip = Cfuel + Cdrives                  ------> 875 + 970    ------> $ 1,845

Total Cost = ( $  1, 845  x 200 km ) x 1.50              ------> $ 5, 535 * Ans.
                         100 km

32. If 5 buses, 9 cars, 4 motorcycles make a 100-km trip. What is the average fuel cost per vehicle?

Average Cost =  total cost of fuel  ---->  (5 x $ 875) + (9 x $ 500) + (4 x $ 175) 
                        total no. of vehicle                               5 + 9 + 4

 $ 4375 + $ 4500 + $ 700  ------> $  9575  ----> $ 531.94 * Ans
               5 + 9 + 4                          18

33. A store owner bought 2 dozen cans of corned beef at $ 30 each. He sold two-thirds of them at 25% profit but was forced to take a 30% loss on the rest. What was his total profit (or loss) on the item?

Total Selling Price

= [  2  (24 cars) x $  30  x ( 1 + 0.25 )] + [  1  (24 cars x  $ 30  ) ( 1 - 0.30 )]
      3                      car                            3                    car


= [  2  (24) x $  30( 1.25 )] + [  1  (24)($ 30)(0.70)]
      3                                     3

Total Selling Price = $ 600 + $ 168
                            = $ 768

Total cost =  $30  x 24 cars = $720
                    car

Gain = Total selling price - Total cost
        = $ 768 - $ 720
        = $ 48 * Ans.

Civil Service Reviewer Post 112/159