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Two vessels A and B contain solution of acid and water. In A and B the ratio of acid and water are 7 : 3 and 4 : 1, respectively. They are mixed in the ratio 1 : 2. What is the ratio of acid and water in the resulting solution?

A15 : 8

B16 : 7

C23 : 7

D25 : 9

Answer:

C. 23 : 7

Read Explanation:

Solution: Given: Two vessels A and B contain solution of acid and water. In A and B the ratio of acid and water are 7 ∶ 3 and 4 ∶ 1, respectively. They are mixed in the ratio 1 ∶ 2. Calculation: In 1 unit of vessel A, quantity of acid = 710×1=710 Quantity of water = 310×1=310 Similarly, in 2 units of vessel B, quantity of acid = 45×2=85 Quantity of water = 15×2=25 The ratio of acid and water in the resulting solution = [(710+85):(310+25)] =2310:710 ⇒ 23 ∶ 7 ∴ The ratio of acid and water in the resulting solution is 23 ∶ 7.


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