Multiple choice

Dherendra purchased two different kinds of alcohol. In the first mixture the ratio of alcohol to water is 7 : 9 and in the second mixture it is 3 : 5. If he mixes the two given mixtures and makes a third mixture in which the ratio of alcohol to water is 5 : 7, find the quantity of the first mixture that is required to make 93 litre of the third kind of mixture is :

  1. 31 litre

  2. 27 litre

  3. 62 litre

  4. 33 litre

  5. None of these
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Mixture 1 has 7/16 alcohol (43.75%), Mixture 2 has 3/8 alcohol (37.5%), Target has 5/12 alcohol (41.67%). Using alligation: (41.67-37.5):(43.75-41.67) = 2:1. So 62 litres of first mixture and 31 litres of second give 93 litres of third.

Keep practicing — related questions