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09 Jul 2026, 10:16
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The key trap in this question: if just one element is changing then the total will change by that about.
Lets say the total is T and elements are B , F and G
So we need B / T and Now we are told that B increased by 1/3 i.e B *1.33
Statement 1
F / T = 1/5 ----> this became 1/6
Notice that if F remained the same, then the denominator increase from 5 ---> 6 i.e an increase by 20%
So 0.2T = 0.33B Hence B/T = 0.2/0.33 so 3/5 Hence Sufficient
Note 0.33 is 1/3 just written for convinience
Statement 2
This 1.33B / (T + 0.33B) = 2/3 Again we can solve for B/T Hence sufficient i.e Answer is D
Lets say the total is T and elements are B , F and G
So we need B / T and Now we are told that B increased by 1/3 i.e B *1.33
Statement 1
F / T = 1/5 ----> this became 1/6
Notice that if F remained the same, then the denominator increase from 5 ---> 6 i.e an increase by 20%
So 0.2T = 0.33B Hence B/T = 0.2/0.33 so 3/5 Hence Sufficient
Note 0.33 is 1/3 just written for convinience
Statement 2
This 1.33B / (T + 0.33B) = 2/3 Again we can solve for B/T Hence sufficient i.e Answer is D
Bunuel
09 Jul 2026, 10:23
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Let the weights of base liquid, fragrance oil and gel stabilizer be b, f and g respectively. Hence, total weight of the formula is b+f+g
We are also given that qty of base liquid was increased by adding 1/3 of the original weight b to the formula. Thus for the new formula, weight of base liquid = 4b/3 and new total weight is (4b/3) + f + g
statement 1: after base liquid was added, the ratio of fragrance oil to total weight reduced from 1/5 to 1/6
This means, in the old formula
f/(b+f+g) = 1/5
Thus,
5f = b+f+g
4f = b+g ______ (1)
Also, in the new formula, f/[(4b/3) + f + g] = 1/6
6f = (4b/3) + f + g
18f = 4b + 3f + 3g ______(multiplying both sides by 3 to remove fraction)
15f = 4b + 3g ________(2)
Multiplying eqn (1) by and then subtracting from (2) we get
3f = b
f = b/3
If we plug this back into eqn (1), we get
4*(b/3) = b + g
b/3 = g
Thus, in the old formula, ratio. of b to b+f+g is given by plugging values of f and g in terms of b we just found.
b/(b + b/3 + b/3) = b/(b + 2b/3) = b/(5b/3) = 3/5
Thus Statement 1 is sufficient. We can eliminate B, C and E options.
Statement 2: After adding the base liquid, the ratio of b to total weight became 2/3
What we are given is,
(4b/3) / [(4b/3) + f + g] = 2/3
Upon simplification, we know that we can get the ratio.
Statement 2 is also sufficient. Hence, we can eliminate A
D is the correct answer choice
We are also given that qty of base liquid was increased by adding 1/3 of the original weight b to the formula. Thus for the new formula, weight of base liquid = 4b/3 and new total weight is (4b/3) + f + g
statement 1: after base liquid was added, the ratio of fragrance oil to total weight reduced from 1/5 to 1/6
This means, in the old formula
f/(b+f+g) = 1/5
Thus,
5f = b+f+g
4f = b+g ______ (1)
Also, in the new formula, f/[(4b/3) + f + g] = 1/6
6f = (4b/3) + f + g
18f = 4b + 3f + 3g ______(multiplying both sides by 3 to remove fraction)
15f = 4b + 3g ________(2)
Multiplying eqn (1) by and then subtracting from (2) we get
3f = b
f = b/3
If we plug this back into eqn (1), we get
4*(b/3) = b + g
b/3 = g
Thus, in the old formula, ratio. of b to b+f+g is given by plugging values of f and g in terms of b we just found.
b/(b + b/3 + b/3) = b/(b + 2b/3) = b/(5b/3) = 3/5
Thus Statement 1 is sufficient. We can eliminate B, C and E options.
Statement 2: After adding the base liquid, the ratio of b to total weight became 2/3
What we are given is,
(4b/3) / [(4b/3) + f + g] = 2/3
Upon simplification, we know that we can get the ratio.
Statement 2 is also sufficient. Hence, we can eliminate A
D is the correct answer choice
09 Jul 2026, 10:27
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Alright, so ,
what we know,
b,g,f, t=b+g+f
later,
4b/3,g,f, t=t+b/3
what do they want = b/t
S1:
f/t = 1/5
f/(t+b/3) = 1/6
solvable, good.
S2:
4b/3/(t+b/3) = 2/3 we can get b/t with this. good.
both good and independent = D.
what we know,
b,g,f, t=b+g+f
later,
4b/3,g,f, t=t+b/3
what do they want = b/t
S1:
f/t = 1/5
f/(t+b/3) = 1/6
solvable, good.
S2:
4b/3/(t+b/3) = 2/3 we can get b/t with this. good.
both good and independent = D.
