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Home Aptitude Linear Equation Comments

  • Question
  • The ratio of incomes of two persons is 8 : 5 and the ratio of their expenditure i 2 : 1. If each of them manages to save ? 1000 per month, find the difference of their monthly income


  • Options
  • A. ? 2500
  • B. ? 1500
  • C. ? 1000
  • D. ? 700

  • Correct Answer
  • ? 1500 

    Explanation

    Let the incomes of two persons be 8x and 5x and their expenditure be 2y and y , respectively.
    ? Saving = Income - Expenditure
    ? 1000 = 8x - 2y ...(i)
    and 1000 = 5x - y ...(ii)


    On multiplying Eq. (ii) by 2 and subtracting from Eq. . (i) , we get
    8x - 2y = 1000
    10x - 2y = 2000
    ----------------------
    -2x = -1000
    ? x = 500

    ? Monthly incomes are
    8x = ? 4000 and
    5x = ? 2500

    ? Difference = ? 4000 - 2500 = ? 1500


  • Linear Equation problems


    Search Results


    • 1. 
      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
    • Discuss
    • 2. 
      The solution of the equations (p/x) + (q/y) = m and (q/x) + (p/y) = n is

    • Options
    • A. x = (q2 - p2) / (mp - nq), y = (p2 - q2) / (np - mq)
    • B. x = (p2 - q2/) / (mp - nq), y = (q2 - q2) / (np - mq)
    • C. x = (p2 - q2/) / (mp - nq), y = (p2 - q2) / (np - mq)
    • D. x = (q2 - p2) / (mp - nq), y = (q2 - p2) / (np - mq)
    • Discuss
    • 3. 
      If 2 a + 3 b = 17 and 2 a + 2 - 3 b +1 = 5, then

    • Options
    • A. a = 2, b = 3
    • B. a = -2, b = 3
    • C. a = 2, b = -3
    • D. a = 3, b = 2
    • Discuss
    • 4. 
      Ten chairs and six tables together cost ? 6200, three chairs and two tables together cost ? 1900, The cost of 4 chairs and 5 tables is?

    • Options
    • A. ? 3000
    • B. ? 3300
    • C. ? 3500
    • D. ? 3800
    • Discuss
    • 5. 
      The graph of ax + by = c, dx + ey = f will be
      I. parallel, if the system has no solution.
      II. coincident, if the system has finite number of solutions.
      III. intersecting. if the system has only one solution.
      Which of the above statements are correct?

    • Options
    • A. Only I and II
    • B. Only II and II
    • C. Only I and III
    • D. I, II and III
    • Discuss
    • 6. 
      A fraction becomes 7/8, if 5 is added to both the numerator and the denominator. If 3 is added to both the numerator and the denominator, it becomes 6/7. Find the fraction.

    • Options
    • A. 8/11
    • B. 9/11
    • C. 10/11
    • D. `Cannot be determine
    • Discuss
    • 7. 
      If the number obtained on the interchanging the digits of two-digits number is 18 more than the original number and the sum of the digits is 8, then what is the original number?

    • Options
    • A. 50
    • B. 51
    • C. 35
    • D. 53
    • Discuss
    • 8. 
      There are two numbers such that the sum of twice the first number and thrice the second number is 100 and the sum of thrice the first number and twice the second number is 120. Which is the larger number?

    • Options
    • A. 32
    • B. 12
    • C. 14
    • D. 35
    • Discuss
    • 9. 
      A series of books was published at seven years interval. When the seventh book was issued, the sum of the publication year was 13,524. When was the first book published?

    • Options
    • A. 1932
    • B. 1942
    • C. 1911
    • D. 1917
    • Discuss
    • 10. 
      The difference between a two- digit number and the number obtained by interchanging the position of its digits is 36.What is the difference between the two digits of that number?

    • Options
    • A. 3
    • B. 4
    • C. 9
    • D. Cannot be determined
    • Discuss


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