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Two vessels A and B contain spirit and water in the ratio 3 ∶ 4 and 5 ∶ 8 respectively. Their contents are mixed in the ratio 7 ∶ 13 in  vessel C. In the new solution, how much spirit should be mixed to get a solution containing spirit and water in the ratio 8:13? 

Two vessels A and B contain spirit and water in the ratio 3 ∶ 4 and 5 ∶ 8 respectively. Their contents are mixed in the ratio 7 ∶ 13 in  vessel C. In the new solution, how much spirit should be mixed to get a solution containing spirit and water in the ratio 8:13?  Correct Answer 25 ml

Diagram:

Ratio of spirit and water = 63:143

In the mixture spirit is added. So, quantity of water will remain same. i.e. 143ml

The ratio of spirit and water in the new mixture is 8:13

According to question:

13units = 143ml

⇒ 1unit = 143/13 = 11ml

∴ the quantity of spirit in new mixture is = 11 × 8 = 88ml

Quantity of spirit in vessel C = 63ml

Quantity added of spirit in new vessel = 88ml - 63ml = 25ml

∴ the required value = 25ml

 

 

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