Ratios & Proportions Level-3 Quiz-1

1. What proportions of 3% milk and 5milk must be mixed to get 4½% milk?

2. 12 men and 4 women working together can do 8 times as much work as a man and a woman. Capacities of a man and a woman are in the ratio while doing a work is?

3. If w : x = y : z = 4.5 : 3.5, what are the values of wz : xy and w+z : x+y?

4. Ram is 50% more efficient than Shweta. Kavya does half of the work done by Ram and Shweta together. If Kavya alone does the work in 30 days, then how many days are required for Ram, Shweta and Kavya together to complete the work?

5. Ajay is 5 times as good as Amish at plumbing and together they finish a plumbing project in 25 days. In how many days will Ajay alone finish the work?

6. Alice is thee times as efficient as Mark. They can complete the work in 3 days if they work together. If Mark takes 8 days more than Alice, find the number of days taken by Alice to complete the work alone?

7. Parson is four times efficient as compared to Quincy. Parson is also able to complete the project in 90 days less than Quincy. Determine the days in which Parson and Quincy can complete the work alone respectively.

8. Divide rupees 1540 among eight men, nine women and five boys such that each woman gets 2 times as much as a boy, and a man as much as a woman and two boys together. Find how much each person receives?

9. In the 45 litres mixture of milk and water, the ratio of milk and water is 5 : 4. Find the quantity of water required to be added so that the resultant mixture will be in the ratio 4 : 5?

10. A vessel contains milk and water in the ratio 5 : 4. If 27 liters of mixture is removed and the same quantity of water is added, the ratio becomes 1 : 2. What quantity does the vessel contain?