Two bottles contain acid and water in the ratio 2 : 3 and 1 : 2 respectively. These are mixed in the ratio 1 : 3. What is the ratio of acid and water in the new mixture = ?
A. 7 : 13
B. 11 : 57
C. 23 : 37
D. 1 : 3
Answer: Option A
Solution(By Examveda Team)
Let 1 bottle of acid is 30litre and consider the first bottle as A and second bottle as B.Ratio of Acid and water in bottle A = 2 : 3
Volume of Acid in bottle A = $$\frac{2}{5} \times 30 = 12$$
Volume of Water in bottle A = $$\frac{3}{5} \times 30 = 18$$
Ratio of Acid and water in bottle A = 1 : 2
Volume of Acid in bottle A = $$\frac{1}{3} \times 30 = 10$$
Volume of Water in bottle A = $$\frac{2}{3} \times 30 = 20$$
Now 1 bottle of A and 3 bottles of B mixed together
Volume of Acid in new mixture = 12 + 3 × 10 = 42
Volume of water in new mixture = 18 + 3 × 20 = 78
Ratio of Acid and water in new mixture = 42 : 78 = 7 : 13
Related Questions on Ratio
If a : b : c = 3 : 4 : 7, then the ratio (a + b + c) : c is equal to
A. 2 : 1
B. 14 : 3
C. 7 : 2
D. 1 : 2
If $$\frac{2}{3}$$ of A=75% of B = 0.6 of C, then A : B : C is
A. 2 : 3 : 3
B. 3 : 4 : 5
C. 4 : 5 : 6
D. 9 : 8 : 10
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