We know that,
Liquid formula consists of base liquid, fragrance oil and gel stabilizer
Let,
Weight of base liquid = b
Weight of fragrance oil = f
Weight of gel stabilizier = g
Initial ratio of base liquid = b/ b+g+f
We know that 1/3rd base liquid was added more to the formula.
=> New total weight = 4b/3 + f + g
But we need to find ratio of initial base liquid to the total weight
We are given statements,
STatements(1) -> After the addition of base liquid, the ratio of the weight of fragrance oil to the total weight of the formula decreased from 1/5 to 1/6
Initial fragrance oil ratio
=> f /b+f+g = 1/5
=> b+f+g = 5f. ---- 3
After the addition the fragrance ratio
=> f/(4b/3) + f + g = 1/6
=> 4b/3 + f + g = 6f. ------4
Now subtracting both the equations 3 and 4 we get,
4b/3 + f + g -(b+f+g) = 6f - 5f
=> b = 3f
Substituting this in 3 we get,
3f+f+g = 5f
=> g = f
Initial ratio = 3f/3f+f+f = 3/5
Statement(1) is sufficient
Statement(2) -> After the addition of base liquid, the ratio of the weight of base liquid to the total weight of the formula became 2/3
=> (4b/3)/(4b/3)+f+g = 2/3
=> 2b/3 = f + g
Initial Ratio = b/b + (f+g) = b/(b + (2b/3)) = 3/5
Statement (2) is sufficient
D. Each statement alone is sufficient