logo

CuriousTab

CuriousTab

Discussion


Home Aptitude Linear Equation See What Others Are Saying!
  • Question
  • Ram and Mohan are friends. Each has some money. If Ram gives ? 30 to Mohan, Then Mohan will have twice the money left with Ram. But if Mohan gives ? 10 to Ram, Then Ram will have thrice as much as is left with Mohan. How much money does each have?


  • Options
  • A. ?62,?34
  • B. ?6,?2
  • C. ?170,?124
  • D. ?43,?26

  • Correct Answer
  • ?62,?34 

    Explanation

    Let us assume Ram has R rupees and Mohan has M rupees.
    According to question,
    If Ram gives 30 rupees to Mohan, then
    Ram has left money = R - 30 and Mohan has money = M + 30
    Then Mohan will have twice the money left with Ram,
    M + 30 = 2(R - 30)
    M + 30 = 2R - 60
    2R - M = 90................................(1)
    Again According to question,
    if Mohan gives 10 rupees to Ram, then
    Mohan has left the money = M - 10 and Ram has the money = R + 10
    Then According to question,
    Ram will have thrice as much as is left with Mohan,
    R + 10 = 3 (M - 10 )
    ? R + 10 = 3M - 30
    ? 3M - R = 10 + 30
    ? 3M - R = 40..................................(2)
    After Multiplying 2 with Equation (2) , add with the equation (1),
    6M - 2R + 2R - M = 80 + 90
    ? 6M - M = 170
    ? 5M = 170
    ? M = 170/5
    ? M = 34
    Put the value of M in equation (1), we will get
    ? 2R - 34 = 90
    ? 2R = 90 + 34
    ? 2R = 124
    ? R = 124/2
    ? R = 62


  • More questions

    • 1. A watch which gains uniformly is 2 minutes low at noon on Monday and is 4 min. 48 sec fast at 2 p.m. on the following Monday. When was it correct?

    • Options
    • A. 2 p.m. on Tuesday
    • B. 2 p.m. on Wednesday
    • C. 3 p.m. on Thursday
    • D. 1 p.m. on Friday
    • Discuss
    • 2. The ratio between the length and the breadth of a rectangular park is 3 : 2. If a man cycling along the boundary of the park at the speed of 12 km/hr completes one round in 8 minutes, then the area of the park (in sq. m) is:

    • Options
    • A. 15360
    • B. 153600
    • C. 30720
    • D. 307200
    • Discuss
    • 3. The diagonal of a rectangle is √41 cm and its area is 20 sq. cm. The perimeter of the rectangle must be:

    • Options
    • A. 9 cm
    • B. 18 cm
    • C. 20 cm
    • D. 41 cm
    • Discuss
    • 4. If 40% of a number is equal to two-third of another number, what is the ratio of first number to the second number?

    • Options
    • A. 2 : 5
    • B. 3 : 7
    • C. 5 : 3
    • D. 7 : 3
    • Discuss
    • 5. How many times in a day, are the hands of a clock in straight line but opposite in direction?

    • Options
    • A. 20
    • B. 22
    • C. 24
    • D. 48
    • Discuss
    • 6. The last day of a century cannot be

    • Options
    • A. Monday
    • B. Wednesday
    • C. Tuesday
    • D. Friday
    • Discuss
    • 7. In a 200 metres race A beats B by 35 m or 7 seconds. A's time over the course is:

    • Options
    • A. 40 sec
    • B. 47 sec
    • C. 33 sec
    • D. None of these
    • Discuss
    • 8. How many times are the hands of a clock at right angle in a day?

    • Options
    • A. 22
    • B. 24
    • C. 44
    • D. 48
    • Discuss
    • 9. The banker's discount on a bill due 4 months hence at 15% is Rs. 420. The true discount is:

    • Options
    • A. Rs. 400
    • B. Rs. 360
    • C. Rs. 480
    • D. Rs. 320
    • Discuss
    • 10. On 8th Dec, 2007 Saturday falls. What day of the week was it on 8th Dec, 2006?

    • Options
    • A. Sunday
    • B. Thursday
    • C. Tuesday
    • D. Friday
    • Discuss


    Comments

    There are no comments.

Enter a new Comment