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Two vessels A and B contains spirit and water in the ratio 1 : 2 and 5 : 11 respectively. These contents are mixed in the ratio 3 : 4. What is the ratio of spirit and water in the new mixture?1. 3 : 162. 16 : 33. 9 : 194. 19 : 9 |
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Answer» Correct Answer - Option 3 : 9 : 19 Given: Two vessels A and B contains spirit and water in the ratio 1 : 2 and 5 : 11 respectively. There contents are mixed in the ratio 3 : 4. Calculation: Let the ratio of spirit in the new mixture be 'x' Also, the spirit in vessel A be 1/3 and in vessel B be 5/16 ⇒ (x - 5/16)/(1/3 - x) = 3/4 ⇒ (16x - 5)/4 = (1 - 3x) ⇒ 16x - 5 = 4 - 12x ⇒ 28x = 9 ⇒ x = 9/28 ⇒ x = 9/(9 + 19) ∴ Required ratio of spirit and water in the new mixture = 9 : 19 |
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