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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 ratio of the area of square of side a and equilateral triangle of side a is?

    • Options
    • A. 2 :1
    • B. 2 : ?3
    • C. 4 :3
    • D. 4 : ?3
    • Discuss
    • 2. 
      (log tan1°. log tan2° ............. log tan50°) is?

    • Options
    • A. 0
    • B. 1
    • C. 2
    • D. - 1
    • Discuss
    • 3. 
      The number of all prime numbers less than 40 is ...

    • Options
    • A. 15
    • B. 18
    • C. 12
    • D. 17
    • Discuss
    • 4. 
      The areas of two similar ?s are 81 cm 2 and 144 cm 2. If the largest side of the smaller ? is 27 cm, then the largest side of the larger ? is :

    • Options
    • A. 24 cm
    • B. 48 cm
    • C. 36 cm
    • D. 88 cm
    • Discuss
    • 5. 
      A sum of Rs. 41 was divided among 50 boys and girls. Each boy gets 90 paise and a girl 65 paise. The number of boys is ?

    • Options
    • A. 16
    • B. 34
    • C. 14
    • D. 36
    • Discuss
    • 6. 
      In the following, find the value (s) of P so that the given equation has equal roots 3x 2 - 5x + P = 0

    • Options
    • A. - 25 12
    • B. 25 6
    • C. 25 12
    • D. - 25 6
    • Discuss
    • 7. 
      If (1/5 )3a = 0.008 Find the value of ( 0.25)a

    • Options
    • A. 20.5
    • B. 22.5
    • C. 0.25
    • D. 6.25
    • Discuss
    • 8. 
      A man gained 10% by selling an article for a certain price. If the sells it at double the price, then the profit made is?

    • Options
    • A. 120%
    • B. 20%
    • C. 40%
    • D. 100
    • Discuss
    • 9. 
      A radius of the base of a right circular cone is 6 cm and its slant height is 28 cm. The curved surface area of the cone is?

    • Options
    • A. 268 sq. cm
    • B. 528 sq. cm
    • C. 462 sq. cm
    • D. 658 sq. cm
    • Discuss
    • 10. 
      The total number of students in school is 2140. If the number of girls in the school is 1200, then what is the ratio of the total number of boy to the total number of girls in the school?

    • Options
    • A. 26 : 25
    • B. 47 : 60
    • C. 18 : 13
    • D. 31 : 79
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