**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?

d

_{walked}= rate x time

= 3

__mi.__x

__1__hr. ------> d

_{walked}= 1.5 miles

hr. 2

time

_{travelled by the bus}= 4:25 - 3:35 - :30 - :10 ------> 10 mins ----> 1/6 hr.

speed

_{of 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.**

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