Question : In a mixture of 178 litres, the ratio of water and milk is 5 : 7. How much water should be added to make the ratio of water and milk 3 : 4?
Option 1: $3 \frac{17}{24}$ litres
Option 2: $3 \frac{13}{24}$ litres
Option 3: $2\frac{11}{24}$ litres
Option 4: $2\frac{23}{24}$ litres
New: SSC CHSL tier 1 answer key 2024 out | SSC CHSL 2024 Notification PDF
Recommended: How to crack SSC CHSL | SSC CHSL exam guide
Don't Miss: Month-wise Current Affairs | Upcoming government exams
New: Unlock 10% OFF on PTE Academic. Use Code: 'C360SPL10'
Correct Answer: $3 \frac{17}{24}$ litres
Solution : Total quantity = 178 litres Quantity of water = $178 \times \frac{5}{12} = \frac{890}{12}$ litres Quantity of milk = $178 \times \frac{7}{12} = \frac{1246}{12}$ litres Now, after adding $x$ litres of water. $⇒\frac{\frac{890}{12} + x}{\frac{1246}{12}} = \frac{3}{4}$ $⇒\frac{\frac{890+12x}{12}}{ \frac{1246}{12}} = \frac{3}{4}$ $⇒\frac{890+12x}{1246} = \frac{3}{4}$ $⇒4(890+12x)= 3 \times 1246$ $⇒3560+48x= 3738$ $⇒48x= 178$ $⇒x = 3\frac{34}{48} = 3\frac{17}{24}$ litres Hence, the correct answer is $3\frac{17}{24}$ litres.
Candidates can download this e-book to give a boost to thier preparation.
Result | Eligibility | Application | Admit Card | Answer Key | Preparation Tips | Cutoff
Question : A mixture contains liquid A and B in the ratio 5 : 3, respectively. If 3 litres of liquid B is added to it, the ratio of liquid A to liquid B becomes 7 : 6. What is the quantity of liquid A in the mixture?
Question : 80 litres of a mixture contains milk and water in a ratio of 27 : 5. How much more water is to be added to get a mixture containing milk and water in a ratio of 3 : 1?
Question : A mixture of 70 litres of wine and water contains 10% of water. How much water must be added to make the water $12 \frac{1}{2}\%$ of the resulting mixture?
Question : 150 litres mixture of milk and water contains 30 percent milk. How much more milk must be added to make the water percentage in the mixture as 40 percent?
Question : A mixture contains alcohol and water in the ratio 4 : 3. If 5 litres of water is added to the mixture, the ratio becomes 4 : 5. The quantity of alcohol in the given mixture is:
Regular exam updates, QnA, Predictors, College Applications & E-books now on your Mobile