In a sugar-water solution, the ratio of water to sugar is 8: If you add 2 kgs of sugar, the ratio becomes 2: What was the amount of sugar in the original solution?
সমাধান
সঠিক উত্তর: Option D
Let sugar be x and water be y,
Then,
y:x = 8:3
or, y/x = 8/3
or, 3y = 8x
or, y = 8x/3 ............................. (1)
Again,
y:(x+2) = 2:1
or, y/(x+2) = 2/1
or, y = 2x + 4
Now,
8x/3 = 2x + 4
or, 8x = 6x + 12
or, 8x - 6x = 12
or, 2x = 12
or, x = 6
Thus, originaly, there were 6 kg of sugar.
