Subject
Quantitative Aptitude
Topic
Miscellaneous
A container contains a mixture of two liquids ‘P’ and ‘Q’ in the ratio of 7 : 5. When 9 litres of mixture is drawn off and then the container is filled with the same amount of 'Q', then the ratio of ‘P’ and ‘Q’ becomes 7:9. How many litres of liquid ‘P’ was contained by the container initially?
A container contains a mixture of two liquids ‘P’ and ‘Q’ in the ratio of 7 : 5. When 9 litres of mixture is drawn off and then the container is filled with the same amount of 'Q', then the ratio of ‘P’ and ‘Q’ becomes 7:9. How many litres of liquid ‘P’ was contained by the container initially?
ক)
27 litresখ)
21 litresগ)
31 litresঘ)
42 litresঙ)
None of theseExplanation
Suppose the container initially contains 7x and 5x litres of ‘P’ and ‘Q’ respectively. Then, According to the question, Quantity of ‘P’ in the mixture left Quantity of ‘Q’ in the mixture left: According to the question: ⇒ 252x – 189 = 140x + 147 ⇒ 112x = 336 ⇒ x = 3 ∴ Litres of liquid ‘P’ that was contained by the container initially = 7 × 3 = 21 Hence, the required answer is 21 litresRelated questions
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