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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. The milk and water in two vessels are in the ratio of 3 : 1 and 7 : 11 respectively. In what ratio should the liquid in both the vessels be mixed to obtaina new mixture containing half milk and half water?

    • Options
    • A. 5 : 7
    • B. 4 : 9
    • C. 1 : 1
    • D. 4 : 7
      • Discuss
    • 2. In a mixture of 35 litres, the ratio of milk and water is 4:1. If 7 litres of water is added to the mixture, the ratio of milk and water of the new mixture will be

    • Options
    • A. 2:1
    • B. 1:2
    • C. 4:5
    • D. 5:4
      • Discuss
    • 3. 
      If the three- fourth of number is subtracted from the number, the value so obtained is 163. What is that number?

    • Options
    • A. 625
    • B. 562
    • C. 632
    • D. 652
      • Discuss
    • 4. 8 litres are drawn from a flask containing milk and then filledwith water. The operation is performed 3 more times. Theratio of the quantity of milk left and total solution is 81/625.How much milk the flask initially holds?

    • Options
    • A. 10 ltr
    • B. 20 ltr
    • C. 30 ltr
    • D. 40 ltr
      • Discuss
    • 5. The square root of 64009 is:

    • Options
    • A. 253
    • B. 347
    • C. 363
    • D. 803
      • Discuss
    • 6. 4, -8, 16, -32, 64, (....)

    • Options
    • A. 128
    • B. -128
    • C. 192
    • D. -192
      • Discuss
    • 7. 
      6.39 x 128.948 + 5.215 ÷ 12.189 + 25.056 =?

    • Options
    • A. 800
    • B. 900
    • C. 850
    • D. 950
      • Discuss
    • 8. 
      A 240 m long train crosses a platform of equal length in 27 s. What is the speed of the train in km/h?

    • Options
    • A. 48
    • B. 60
    • C. 56
    • D. 64
      • Discuss
    • 9. 
      If 1 / 3.718 = .2689, then the value of 1 / .0003718 is?

    • Options
    • A. 2689
    • B. 2.689
    • C. 26890
    • D. .2689
      • Discuss
    • 10. 
      A can do a piece of work in 24 days. If B is 60% more efficient than A, then the number of days required by B to do the same piece of work is?

    • Options
    • A. 10
    • B. 15
    • C. 12
    • D. 9.6
      • Discuss

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