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Home Aptitude Ratio and Proportion See What Others Are Saying!
  • Question
  • If 4a = 5b and 7b = 9c, then a : b : c is equal to


  • Options
  • A. 45 : 36 : 28
  • B. 44 : 33 : 28
  • C. 28 : 36 : 45
  • D. 36 : 28 : 45

  • Correct Answer
  • 45 : 36 : 28 

    Explanation

    Given that 4a = 5b
    ? a/b = 5/4
    Also 7b = 9c
    ? b/c = 9/7
    ? a : b = 5 : 4 = (5 x 9) : (4 x 9) = 45 : 36
    and b : c = 9 : 7 = (9 x 4) : (7 x 4) = 36 : 28
    ? a : b : c = 45 : 36 : 28


  • More questions

    • 1. A train 110 metres long is running with a speed of 60 kmph. In what time will it pass a man who is running at 6 kmph in the direction opposite to that in which the train is going?

    • Options
    • A. 5 sec
    • B. 6 sec
    • C. 7 sec
    • D. 10 sec
    • Discuss
    • 2. A train running at the speed of 60 km/hr crosses a pole in 9 seconds. What is the length of the train?

    • Options
    • A. 120 metres
    • B. 180 metres
    • C. 324 metres
    • D. 150 metres
    • Discuss
    • 3. A sum fetched a total simple interest of Rs. 4016.25 at the rate of 9 p.c.p.a. in 5 years. What is the sum?

    • Options
    • A. Rs. 4462.50
    • B. Rs. 8032.50
    • C. Rs. 8900
    • D. Rs. 8925
    • E. None of these
    • Discuss
    • 4. A sum of money amounts to Rs. 9800 after 5 years and Rs. 12005 after 8 years at the same rate of simple interest. The rate of interest per annum is:

    • Options
    • A. 5%
    • B. 8%
    • C. 12%
    • D. 15%
    • Discuss
    • 5. Mr. Thomas invested an amount of Rs. 13,900 divided in two different schemes A and B at the simple interest rate of 14% p.a. and 11% p.a. respectively. If the total amount of simple interest earned in 2 years be Rs. 3508, what was the amount invested in Scheme B?

    • Options
    • A. Rs. 6400
    • B. Rs. 6500
    • C. Rs. 7200
    • D. Rs. 7500
    • E. None of these
    • Discuss
    • 6. A train 800 metres long is running at a speed of 78 km/hr. If it crosses a tunnel in 1 minute, then the length of the tunnel (in meters) is:

    • Options
    • A. 130
    • B. 360
    • C. 500
    • D. 540
    • Discuss
    • 7. Two stations A and B are 110 km apart on a straight line. One train starts from A at 7 a.m. and travels towards B at 20 kmph. Another train starts from B at 8 a.m. and travels towards A at a speed of 25 kmph. At what time will they meet?

    • Options
    • A. 9 a.m.
    • B. 10 a.m.
    • C. 10.30 a.m.
    • D. 11 a.m.
    • Discuss
    • 8. A lent Rs. 5000 to B for 2 years and Rs. 3000 to C for 4 years on simple interest at the same rate of interest and received Rs. 2200 in all from both of them as interest. The rate of interest per annum is:

    • Options
    • A. 5%
    • B. 7%
    • C. 7 18%
    • D. 10%
    • Discuss
    • 9. An automobile financier claims to be lending money at simple interest, but he includes the interest every six months for calculating the principal. If he is charging an interest of 10%, the effective rate of interest becomes:

    • Options
    • A. 10%
    • B. 10.25%
    • C. 10.5%
    • D. None of these
    • Discuss
    • 10. If selling price is doubled, the profit triples. Find the profit percent.

    • Options
    • A. 66 23
    • B. 100
    • C. 105 13
    • D. 120
    • Discuss


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