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  • Question
  • Ramesh and Suresh undertaken to do a piece of work for ? 800. Ramesh alone can do it in 12 days, while Suresh alone can do it in 16 days. With the assistance of a boy, they finish it in 6 days. How should the money be divided?


  • Options
  • A. Ramesh = ? 100, Suresh = ? 300 and boy = ? 400
  • B. Ramesh = ? 200, Suresh = ? 200 and boy = ? 400
  • C. Ramesh = ? 400, Suresh = ? 300 and boy = ? 100
  • D. Ramesh = ? 300, Suresh = ? 400 and boy = ? 100

  • Correct Answer
  • Ramesh = ? 400, Suresh = ? 300 and boy = ? 100 

    Explanation

    Ramesh's 1 day's work = 1/12
    Suresh's 1 day's work = 1/16
    (Ramesh + Suresh)'s 1 day work = (1/12) + (1/16)
    = (16 + 12) / (12 x 16)
    = 28/192
    = 7/48

    Given that, (Ramesh + Suresh + Boy)'s
    1 day's work = 1/6
    ? Boy's 1 day's work = (1/6) - (7/48) = (8 - 7)/ 48 = 1/48
    ? Ramesh's share : Suresh's share : Boy's share = 1/12 : 1/16 : 1/48
    = (8/96) : (6/96) : (2/96)
    = 8 : 6 : 2
    = 4 : 3 : 1

    Let Ramesh's share be 4k , Suresh's share be 3k and boy's share be k.
    According to the question,
    4k + 3k + k = 800
    8k = 800
    ? k = 800/8 = 100

    ? Ramesh's share = 4k = 4 x 100 = ? 400
    Suresh's share = 3k = 3 x 100 = ? 300
    Boy's share = k = ? 100


  • More questions

    • 1. What is the average of four tenths and five thousandths

    • Options
    • A. 25002
    • B. 2502
    • C. 0.2025
    • D. none
    • Discuss
    • 2. Which number will come in place of question mark 7, 16, 36, 78, 144, ?

    • Options
    • A. 168
    • B. 196
    • C. 222
    • D. 256
    • Discuss
    • 3. Seven years ago, the average age of A, B and C was 51 years. If A is 3 years older than B and B is 3 years older then C then the present ages of A, B and C are ( in year)

    • Options
    • A. 61, 58 and 55
    • B. 54, 51, and 48
    • C. 55, 58, and 61
    • D. 48, 51 and 54
    • Discuss
    • 4. In the given figure, PQRS is a square inscribed in a circle of radius 4 cm. PQ is produced till point Y. From Y a tangent is drawn to the circle at point R. What is the length (in cm) of SY ?

    • Options
    • A. 4√10
    • B. 2√10
    • C. 6√10
    • D. 3√5
    • Discuss
    • 5. If V = 12R / (r + R) , then R =

    • Options
    • A. Vr / (12 - V)
    • B. Vr + (V /12 )
    • C. V
    • D. V / (r - 12 )
    • Discuss
    • 6. In a class of 60 students there are 20 girls who scored an average of 40 marks in the test, what is the average marks of the boys if the class average is 60 marks?

    • Options
    • A. 60
    • B. 70
    • C. 50
    • D. D)
    • Discuss
    • 7. Which of the fractions given below, when added to 5/8, gives 1?

    • Options
    • A. 6/16
    • B. 5/2
    • C. 6/24
    • D. 6/3
    • Discuss
    • 8. LCM of 80, 85, 90

    • Options
    • A. 11440
    • B. 11998
    • C. 12240
    • D. 12880
    • Discuss
    • 9. In a triangle, the distance of the centroid from the three vertices is 4cm, 6cm and 8cm respectively. Then the length of the smallest median is:

    • Options
    • A. 8
    • B. 7
    • C. 6
    • D. 5
    • Discuss
    • 10. In a mixture of 25 litres, the ratio of milk to water is 4:1. Another 3 litres of water is added to the mixture. The ratio of milk to water in the new mixture is

    • Options
    • A. 5:1
    • B. 5:2
    • C. 5:3
    • D. 5:4
    • Discuss


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