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Ratio, Proportion and Partnership

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Question: Tom, Dick and Harry went for lunch to a restaurant. Tom had $100 with him, Dick had $60 and Harry had $40. They got a bill for $104 and decided to giv a tip of $16. They further decided to share the total expenses in the ratio of the amounts of money each carried. The amount of money which Tom paid more than what Harry paid is--

  1. a.
    120
  2. b.
    200
  3. c.
    60
  4. d.
    24
  5. e.
    36
Answer: e

Question: Business partners A, B and C agree to divide their total profit for the year in the ratio 4 : 7 : 8 respectively. If A's share of the profit is Rs.16000, what was the total profit of the business partners for the year?

  1. a.
    Rs.64000
  2. b.
    Rs.76000
  3. c.
    Rs.30000
  4. d.
    Rs.3000000
Answer: b

Question: Three boys have marbles in the ratio of 19 : 5 : 3. If the boy with the least number has 9 marbles, how many marbles does the boy with the highest number have?

  1. a.
    57
  2. b.
    15
  3. c.
    76
  4. d.
    38
  5. e.
    None of these
Answer: a

Question: Two blends of tea costing $2.80 and $3.20 per kg respectively, are mixed in the proportion 2 : 3. The mixture is sold at $4.80 per kg. What was the percentage of profit?

  1. a.
    57.9
  2. b.
    60
  3. c.
    50.7
  4. d.
    50.9
  5. e.
    None of these
Answer: a

Question: Whichof the ratio is the greatest?

  1. a.
    3 : 7
  2. b.
    5 : 9
  3. c.
    7 : 11
  4. d.
    None
Answer: c

Question: The ratio of boys and girls in a class is 1 : 2 and the classroom has 24 students. How many boys would have to be admited to make ratio of boys to girls 1 : 1?

  1. a.
    6
  2. b.
    8
  3. c.
    10
  4. d.
    12
  5. e.
    14
Answer: b

Question: On a shipping trip, Karim spent 1/3 of his money for a jaket and another Tk.5 for a hat. If he still had 1/2 of his money left, how much money did he save originally?

  1. a.
    Tk.18
  2. b.
    Tk.24
  3. c.
    Tk.30
  4. d.
    Tk.50
  5. e.
    Tk.60
Answer: c

Question: The present ratio of students and teachers at a certain school is 30 to 1. If the student enrollment were to increase by 50 students and the number of teachers were increase by 5, the ratio of students to teachers would then be 25 to 1. What is the present number of teachers?

  1. a.
    5
  2. b.
    8
  3. c.
    10
  4. d.
    12
  5. e.
    15
Answer: e

Question: Find the amount of dividend per share received annually by a stock holder for the following: par value Tk.10, dividend rate 4% and dividend payable annually.

  1. a.
    Tk.5
  2. b.
    Tk.0.40
  3. c.
    Tk.0.60
  4. d.
    None of these
Answer: b

Question: Divide Rs.5625 among A, B and C so that A receive 1/2 as much as B & C and B 1/4 of what A and C together receive?

  1. a.
    1125, 1870, 2630
  2. b.
    2625, 1875, 1125
  3. c.
    1875, 1125, 2625
  4. d.
    6
Answer: c

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