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A can contains a mixture of two liquids A and B in the ratio 7 : 5. When 9 litres of mixture are drawn off and the can is filled with 9 litres of liquid B, the ratio of A and B becomes 7 : 9. Litres of liquid A contained by the can initially was :

A) 10
B) 20
C) 21
D) 25
E) None of these

Correct Answer:



C) 21

Description for Correct answer:
Let the quantity of liquid A and liquid B be 7x litre and 5x litre

According to question,

\( \Large \frac{7x - 9 x \frac{7}{12}}{5x - 9 x \frac{5}{12} + 9} \) = \( \Large \frac{7}{9} \)

=> \( \Large \frac{7x - \frac{3 x 7}{4} }{5x - \frac{3 x 5}{4} + 9} \) = \( \Large \frac{7}{9} \)

=> \( \Large \frac{28x - 21}{20x - 15 + 36} \) = \( \Large \frac{7}{9} \)

252x - 189 = 140x + 147

112x = 336 => x = 3litre

so, initial quantity of liquid A = 7x = 7 x 3

= 21 Litres

Part of solved SBI JuniorAssociate-2 questions and answers : Exams >> Bank Exams >> SBI JuniorAssociate-2

Comments

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