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  • Question
  • A man had 170 currency notes in all, some of which were of ? 100 denominations and some of ? 50 denominations. The total amount of all these currency notes was ? 10000. How much amount did he have in the denominations of ? 50?


  • Options
  • A. ? 4000
  • B. ? 9000
  • C. ? 7000
  • D. ? 6000

  • Correct Answer
  • ? 7000 

    Explanation

    Solution 1 :
    Let the number of ? 50 notes = x, then the number of ? 100 notes = (170 - x)
    According to question.
    50x + 100(170 - x) = 10000
    divide by 50 the above equation, we will get
    ? x + 2(170 - x) = 200
    ? x + 340 - 2x = 200
    ? -x = 200 - 340 = -140
    ? x = 140
    ? Required amount ? 50 x 140
    = ? 7000


    Solution 2 :
    Let the number of ? 50 notes = x and the number of ? 100 notes = y.
    according to given question,
    x + y = 170 .............(1)
    50x + 100y = 10000............(2)

    Divide the equation (2) by 10 , we will get
    5x + 17y = 1000............(3)
    Multiply the equation (1) by 5
    5x + 5y = 850 ------------(4)
    Subtract the (4) equation from (3) equation, we will get,
    5x +10y - ( 5x + 5y ) = 1000 - 850
    ? 5x +10y - 5x - 5y = 1000 - 850
    ? 10y - 5y = 1000 - 850
    ? 5y = 150
    ? y = 150/5
    ? y = 30
    Number of ? 100 notes = y = 30;
    since x + Y = 170
    therefore x = 170 - y
    ? x = 170 - 30
    ? x = 140
    Number of ? 50 notes = x = 140


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