Practicing Success
25 litres of a mixture contains 30% of spirit and rest water. If 5 litres of water be mixed in it, the percentage of spirit in the new mixture is : |
45% $33 \frac{1}{3}\%$ 25% $12 \frac{1}{2} \%$ |
25% |
Quantity of mixture = 25 L, Spirit : Water 3 : 7 ⇒ (3 + 7)x = 25 L ⇒ 10x = 25 L ⇒ x = 2.5 ⇒ Spirit = 3 x 2.5 = 7.5 L ⇒ Water = 7 x 2.5 = 17.5 L Adding 5 L water in the solution, ⇒ 17.5 + 5 = 22.5 L ⇒ Percentage of Spirit in the new solution = \(\frac{7.5}{22.5 + 7.5}\) x 100 = \(\frac{7.5}{30}\) x 100 = 25%. |