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Duggu purchased two different kinds of alcohol. In the first mixture the ratio of alcohol to water is 3 ∶ 4 and in the second mixture it is 5 ∶ 6. If he mixes the two given mixtures and makes a third mixture of 18 litres in which the ratio of alcohol to water is 4 ∶ 5. The quantity of first mixture (whose ratio is 3 ∶ 4) is required to make the 18 litres of the third kind of mixture is:

Duggu purchased two different kinds of alcohol. In the first mixture the ratio of alcohol to water is 3 ∶ 4 and in the second mixture it is 5 ∶ 6. If he mixes the two given mixtures and makes a third mixture of 18 litres in which the ratio of alcohol to water is 4 ∶ 5. The quantity of first mixture (whose ratio is 3 ∶ 4) is required to make the 18 litres of the third kind of mixture is: Correct Answer 7

Alcohol in 1st mixture = 3/7

Alcohol in 2nd mixture = 5/11

Alcohol in 3rd mixture = 4/9

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So, ratio of 1st and 2nd mixture = 1/99 ∶ 1/63 = 7 ∶ 11

∴ The quantity of first mixture = 7/18 × 18 = 7 litres

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