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A bottle contains 20 litres of liquid A. 4 litres of liquid A is taken out of it and replaced by same quantity of liquid B. Again 4 litres of the mixture is taken out and replaced by same quantity of liquid B. What is the ratio of quantity of liquid A to that of liquid B in the final mixture? 1. 4 : 12. 5 : 13. 16 : 94. 17 : 8 |
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Answer» Correct Answer - Option 3 : 16 : 9 Given: A bottle contains 20 litres of liquid A. Calculation: After removing 4 L of liquid A and adding 4 L of liquid B. Mixture become this way. 16 L of A and 4 L of B ⇒ A = 16/20 and B = 4/20 Now again 4 L of mixture is taken out and 4 L of liquid B is added. ⇒ A : B = [16 – (16/20 × 4)] : [4 – (4/20 × 4) + 4] ⇒ A : B = 16× [1 – (1/5)] : 4 × [2 – (1/5)] ⇒ A : B = 16 × 4/5 : 4 × 9/5 ⇒ A : B = 16 : 9 ∴ The ratio of quantity of liquid A to that of liquid B in the final mixture is 16 : 9. |
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