How much Sugar should be Added to Make it 50% in the Solution?

300 grams of sugar solution has 40% of sugar in it. How much sugar should be added to make it 50% in the solution?

  1. 60 gms
  2. 10gms
  3. 80 gms
  4. 40 gms
Anurag Mishra Professor Asked on 26th October 2015 in Maths.
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  • 1 Answer(s)

    Answer is (1): 60 gsm

    Explanation:-
    Let the quantity of sugar should be added = X gm
    Total quantity of the solution = 300 gm
    40% sugar,
    Then, the quantity of sugar in the solution = 300 x 40/100
    = 120 gm

    Therefore, the quantity of water in the solution = 300 – 120
    = 180 gm

    Then, 180 + 120 + X = (300 + X)/2 + 180
    120 + X = (300 + X)/2
    By cross multiplication,
    2 x 120 + 2 x X = 300 + X
    240 + 2 X = 300 + X
    2 X – X = 300 – 240
    X = 60 gm

    Short Trick –
    (300 + X)/2 = 180
    300 + X = 180 x 2
    300 + X = 360
    X = 360 – 300
    X = 60 gm

    Hence, the answer is (1) 60 gm.

    Monis Rasool Professor Answered on 28th October 2015.
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