Directions: Read the given table carefully and answer the following questions.
Given table shows the Quantity of milk distributed by milkman and the quantity of milk and water added and the quantity left after adding water and milk. Some values are missing here.
A milkman have 'X' litre of milk and water mixture in the ratio 5 ∶ 1. He gives milk to three persons Amit, Gareema and Madhu.
Persons |
Quantity given to Client (in L) |
Quantity of milk added (in L) |
Quantity of water added (in L) |
Quantity left after adding water and milk (in L) |
Amit |
120 |
80 |
0 |
560 |
Gareema |
y |
60 |
10 |
M |
Madhu |
200 |
3r |
r |
z |
Data calculated from solving one part can be used in the calculation of the other part.
The ratio of milk and water in the mixture = 5 ∶ 1
⇒ Let the quantity of milk and water be 5x and x respectively
∴ Initial concentration with the milkman (X) = 5x + x = 6x
Now, 120 litre of mixture is given to Amit and 80 litre of pure milk is added such that mixture left with ilkman is 560 litre
⇒ 6x – 120 + 80 = 560
⇒ 6x = 600
⇒ x = 100
∴ Initial concentration with the milkman (X) = 6 × 100 = 600 litres