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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