Question : The alcohol and water in a mixture are in the ratio of 4 : 5 respectively. 20-litres water is added to it. If the ratio of alcohol and water in the new mixture is 1 : 3 respectively, then what is the total quantity of the alcohol in the new mixture?
Option 1: $\frac{80}{7}$ liters
Option 2: $15$ liters
Option 3: $\frac{60}{7}$ liters
Option 4: $\frac{90}{11}$ liters
New: SSC MTS Tier 1 Answer key 2024 out
Don't Miss: Month-wise Current Affairs | Upcoming Government Exams
New: Unlock 10% OFF on PTE Academic. Use Code: 'C360SPL10'
Correct Answer: $\frac{80}{7}$ liters
Solution : Let the initial quantities of alcohol and water in the mixture as 4$x$ and 5$x$ respectively The total quantity of the mixture = 4$x$ + 5$x$ = 9$x$ After adding 20 litres of water, the new quantity of water = 5$x$ + 20 Now, ⇒ Ratio = $\frac{\text{Quantity of alcohol}}{\text{Quantity of water}}$ = $\frac{1}{3}$ ⇒ $\frac{4x}{5x + 20}$ = $\frac{1}{3}$ ⇒ 3 × 4$x$ = 1 × (5$x$ + 20) ⇒ 7$x$ = 20 ⇒ $x$ = $\frac{20}{7}$ So, total Alcohol in the new mixture = Alcohol in the initial mixture = 4$x$ = 4 × $\frac{20}{7}$ = $\frac{80}{7}$ Hence, the correct answer is $\frac{80}{7}$ litres.
Application | Cutoff | Selection Process | Preparation Tips | Eligibility | Exam Pattern | Admit Card
Question : A mixture contains milk and water in a ratio of 9 : 5. When 6 litres of water is added to this mixture, the ratio of milk and water becomes 9 : 7. Find the quantity of milk in the mixture.
Option 1: 30 litres
Option 2: 18 litres
Option 3: 27 litres
Option 4: 15 litres
Question : 470 litres of a mixture of milk and water contains 5% of water. A mischievous boy added some water in the mixture and now there is 6% water in the new mixture. Find the quantity of water added by the boy in the mixture.
Option 1: 6 litres
Option 2: 8 litres
Option 3: 5 litres
Option 4: 10 litres
Question : A mixture of 500 litres of alcohol and water contains 20 percent water. How much more water should be added to this so that the water will become 50 percent in the new mixture?
Option 1: 300 litres
Option 2: 400 litres
Option 3: 350 litres
Option 4: 450 litres
Question : In A mixture of 180 litres, the ratio of milk and water is 5 : 1. If this ratio is to be 3 : 2, then find the quantity of water to be further added.
Option 1: 66 litres
Option 2: 70 litres
Option 3: 88 litres
Option 4: 72 litres
Question : In a 64 L mixture, the alcohol and water are in the ratio of 1 : 3 respectively. 32 L of the mixture is taken off and replaced with 16 L of water. What is the new ratio of alcohol and water respectively?
Option 1: 1 : 5
Option 2: 5 : 12
Option 3: 2 : 7
Option 4: 3 : 10
Regular exam updates, QnA, Predictors, College Applications & E-books now on your Mobile