Systems of Equations in Ratio and Proportion
Systems of Equations in Ratio and Proportion
#### If a solution contains 20% acid and another solution contains 40% acid, what ratio of the first solution to the second solution should be used to create a solution that is 30% acid?
1. [ ] 1:2
2. [x] 1:1
3. [ ] 1:3
4. [ ] 3:1
#### If a 30% acid solution and a 70% acid solution are mixed in a ratio of 2:3, what is the percentage of acid in the resulting solution?
1. [ ] 35%
2. [ ] 40%
3. [x] 54%
4. [ ] 50%
#### If a container holds 20 liters of a 10% salt solution, how much pure water must be added to make the solution 5% salt if the volume of the container does not change?
1. [ ] 10 liters
2. [ ] 12 liters
3. [ ] 14 liters
4. [x] 20 liters
#### A invested Rs. 70,000 in a business. After a few months, B joined him with Rs. 60,000. At the end of the year, the total profit was divided between them in the ratio of 2: 1. After how many months did B join:
1. [ ] 8 months
2. [ ] 6 months
3. [x] 5 months
4. [ ] 9 months
#### A mixture contains sugar solution and colored water in the ratio of 4 : 3. If 10 liters of colored water is added to the mixture, the ratio becomes 4: 5. Find the initial quantity of sugar solution in the given mixture
1. [ ] 44 ltr
2. [ ] 46 ltr
3. [x] 20 ltr
4. [ ] 26 ltr
