Alligation or Mixture - Quantitative Aptitude (MCQ) questions for Q. 20783

Q.  If 500 gm of salt solution has 30% salt in it, how much salt must be added to make the concentration of salt 50% in the solution?
- Published on 07 Jul 17

a. 200 gm
b. 100 gm
c. 90 gm
d. 50 gm
e. None of these

ANSWER: 200 gm
 
Amount of water in solution = 100 % - 30 % = 70 % of total
Amount of water = 70 % x 500 = 350 gm
Amount of water remains same for both the solutions. Therefore, let amount of new solution be x gm.
x = 350 x (100/ 50)
x = 700
Salt added = (700 – 500) = 200 gm

Alternate solution:

Quantity of sugar to be added :
= [Solution (Required % value – Present % value)] / (100 – Required % value)
= [500 (50 – 30)] / 100 – 50
= (500 x 20) / 50
= 200 gm

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