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Problem Solving - Part 3
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Arka Roy
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1. Ratio and Proportion made easy Problem Solving - Part 3

2. Question A vessel has a milk solution in which milk and water are in the ratio 4 :1. By addition of water to it, milk solution with milk and water in the ratio 4 3 was formed. On replacing 14 L of this solution with pure milk the ratio of milk and water changed to 5: 3. What is the volume of the water added? (CAT 2012) (A)12 L (B) 60 L (C)32 L (D)24 L

3. Solution . Milk: Water : Solution 4:3:7 [before replacement] X 8 . Milk: Water: Solution 5:3:8 [after replacement] X 7 . Milk : Water : Solution 32: 24:56 [before replacement] Milk : Water : Solution = 35 : 21 : 56 [after replacement] . of the initial solution = 14 liter 24 24 (12) = 112 liter I p art of the initial solution =

4. Solution 4:1:5 [before replacement] X 8 4:3:7 [after replacement] X 7 iter . Milk: Water : Solution . Milk: Water: Solution 7 units of 4:3 solution represent 1121 112 . Hence 2 units of 4 : 3 solution represents-_ X 2 = 32 liter Hence option C

5. Question 2 numbers are in the ratio 4:5. If 7 is added to each, the ratio between the numbers become 5:6 each. Find the numbers?

6. Solution . Number 1 Number 2 4 5 (Number 1) +7: (Number 27 4:5 1 unit is equal to 7 Hence the numbers are 4 X 7 = 28 and 5 X 7 = 35 Hence the numbers are 28 and 35

7. Thank You Arka Roy