Subject
Quantitative Aptitude
Topic
Miscellaneous
Two containers are taken such that capacity of first is one tenth of second. In both of them, 3 litres of milk and 7 litres of water is added. Now, from second container, 4 litres of the mixture is taken out and added to first container. The first container gets full after this process. With a mixture of milk and water, the remaining portion of second container is to be filled so that the final ratio of milk and water in second container becomes 2:3. What should be the ratio of milk and water in the added mixture?
Two containers are taken such that capacity of first is one tenth of second. In both of them, 3 litres of milk and 7 litres of water is added. Now, from second container, 4 litres of the mixture is taken out and added to first container. The first container gets full after this process. With a mixture of milk and water, the remaining portion of second container is to be filled so that the final ratio of milk and water in second container becomes 2:3. What should be the ratio of milk and water in the added mixture?
ক)
1:3খ)
91:133গ)
271:399ঘ)
27:80ঙ)
9:31Explanation
In containers, 3 litres of milk and 7 litres of water is added. Now, from second container, 4 litres of the mixture is taken out and added to first container. The first container gets full after this process. ⇒ Capacity of first container = (3 + 7 + 4) litres = 14 litres ⇒ Capacity of second container = 10 × 14 litres = 140 litres Now, in second container, amount of mixture = (3 + 7 - 4) litres = 6 litres Empty part of second container = (140 – 6) litres = 134 litres Amount of milk is second container = (3/10) × 6 = 1.8 litres Amount of water is second container = (7/10) × 6 = 4.2 litres With a mixture of milk and water, the remaining portion of second container is to be filled so that the final ratio of milk and water in second container becomes 2:3. Suppose the amounts of milk and water in added mixture is M:(134-M). ⇒ (1.8 + M)/(4.2 + 134 – M) = 2/3 ⇒ 5.4 + 3M = 276.4 – 2M ⇒ 5M = 271 ⇒ M = 54.2 ∴ Ratio of milk and water in added mixture = 54.2/(134-54.2) = 54.2/79.8 = 271/399Related questions
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