# 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?

- 60 gms
- 10gms
- 80 gms
- 40 gms

**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.