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Monday, March 4, 2013

Civil Service Commission Professional or Sub-Professional Reviewer - Page 114/159

Mathematics Test V Solution - Page 114

37. If jackfruits are twice as expensive as watermelons, and watermelon is one-third as expensive as durians. What is the ratio of the price of one jackfruit to one durian?

Let x - be the cost of watermelon
Let 2x - be the cost of the jackfruit
Let 3x - be the cost of the durian

= Jackfruit : Durian
= 2x : 3x
= 2 : 3 * Ans.

38. A retailer buys a pack of sugar from Uniwide Sales for $ 459. He then marks up the price by 1/3 and sells it at a discount of 16 2/3 %. What was his profit in this item?

Marked price = $ 459 + 1/3 ($ 459)        ----------> 459 + $ 153     -------> $ 612

Discounted Price = $ 612 - 16 % ($ 612)  ---------> $ 612 - 1/6 ($ 612) ------> $ 510

Profit = Selling Price - Cost

         = $ 510 - $ 459
         = $ 51 * Ans.

39. Forrest Gump walks down the road for 30 minutes at a rate of 3 MPH. He waits 10 minutes for a bus, which brings his back to his starting point at 4 : 25. If he begun his walk at 3 : 35 the same afternoon, what was the average speed on the bus?

dwalked = rate x time

= 3  mi.  x  1  hr.         ------> dwalked = 1.5 miles
       hr.      2

timetravelled by the bus = 4:25 - 3:35 - :30 - :10   ------> 10 mins ----> 1/6 hr.

speedof the bus =  distance  -------->   1.5 minutes   ---> (1.5 x 6) mi/hr ---> 9 mi/hr * Ans.
                              time                          1/6 hr

40. Miss Felisa Gascon had $ 2 million to invest. She invested part of it at 4% a year and the remainder at 5% per year. After one year she earned $ 95, 000 in interest. How much of the original investment was placed at 5% rate?

Let x - be the amount of invested at 5%
Let 2,000,000 - x be the amount invested at 4%

0.05x + 0.04 (2,000,000 - x) = 95000
          0.05x + 80000 - 0.04x = 95000
                                    0.01x = 95000 - 80000
                                    0.01x = 15000
                                           x = 15000 / 0.01
                                           x = 1, 500, 000 * Ans.

Civil Service Reviewer Post 114/159