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Home Aptitude Linear Equation See What Others Are Saying!
  • Question
  • One says "Give me a hundred friend ! I shall then become twice as rich as you ". The other replies, "If you give me ten, I shall be six times as rich as you." Find the amount of their capitals.


  • Options
  • A. ? 40, ? 170
  • B. ? 60, ? 180
  • C. ? 80, ? 200
  • D. Cannot be determined

  • Correct Answer
  • ? 40, ? 170 

    Explanation

    Let the capital of one is x and that of another is y .

    According to the question.
    x + 100 = 2(y - 100)
    x + 100 = 2y - 200
    or x - 2y = -300 ...(i)

    Again, according to the question
    y + 10 = 6(x - 10)
    ? y + 10 = 6x - 10
    ? 6x - y = 70 ..(ii)

    On multiplying Eq. (ii) by 2 and subtracting from Eq. (i) , we get
    x - 2y = -300
    12x - 2y = 140
    ----------------
    -11x = -440
    ? x = 40

    On putting the value of x in Eq. (i) , we get
    40 - 2y = -300
    ? 2y = 340
    ? y = 170
    So, their capital are ? 40 and ? 170.


  • More questions

    • 1. 
      If the price of 23 toys is Rs. 276, then what will the price (Rs.) of 12 toys?

    • Options
    • A. 144
    • B. 158
    • C. 159
    • D. 166
    • Discuss
    • 2. 
      .02 =(......?.....)%

    • Options
    • A. 20
    • B. 2
    • C. .02
    • D. .2
    • Discuss
    • 3. 
      If 36 men can do a piece of work in 25 hours, in how many hours will 15 men do it?

    • Options
    • A. 45
    • B. 55
    • C. 60
    • D. 72
    • Discuss
    • 4. 
      2?63 / 11 =233

    • Options
    • A. 4
    • B. 3
    • C. 6
    • D. 5
    • Discuss
    • 5. 
      When 121012 is divided by 12, the remainder is

    • Options
    • A. 0
    • B. 2
    • C. 3
    • D. 4
    • Discuss
    • 6. 
      Aarti can do a piece of work in 6 days. In how many days will she complete three time of work of same type?

    • Options
    • A. 18 days
    • B. 21 days
    • C. 3 days
    • D. 6 days
    • Discuss
    • 7. 
      750.0003 ÷ 19.999 =?

    • Options
    • A. 49
    • B. 18
    • C. 22
    • D. 38
    • Discuss
    • 8. 
      105, 85, 60, 30, 0, - 45, - 90?

    • Options
    • A. 0
    • B. 85
    • C. -45
    • D. 60
    • Discuss
    • 9. 
      Let A = {1, 2, {3, 4}, 5}. Which of the following statements is true?

    • Options
    • A. {3, 4} ? A
    • B. {3, 4} ? A
    • C. 1 ? A
    • D. {1, 2, 5} ? A
    • Discuss
    • 10. 
      Two vessels A and B contains milk and water mixed in the ratio 5 : 3 and 2 : 3. When these mixtures are mixed to form a new mixture containing half milk and half water, they must be taken in the ratio ?

    • Options
    • A. 2 : 5
    • B. 3 : 5
    • C. 4 : 5
    • D. 7 : 3
    • Discuss


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