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03 Aug 2022 Alligation and Mixture

Ratio of milk and water is 5:3. When 4.8 liters of mixture is taken out and added 800 ml milk and 600 ml water, the difference of milk and water in a mixture is 5 liters, then difference of quantities of water and milk in initial mixture was

OPtion

1) 8 liters
2) 6 liters
3) 9 liters
4) 12 liters
5) 15 liters
6) 24 liters
7) 18 liters
8) 10 liters
9) 20 liters
10) None of these

Solution

Let in initial mixture, Milk=5x, Water=3x
Qty. of milk after taking out 4.8 liters of mixture and adding 800 ml milk=5x - (4.8*5/8) + 0.8 L = (5x - 2.2) L
Qty. of water after taking out 4.8 liters of mixture and adding 600 ml water=3x - (4.8*3/8) + 0.6 L = (3x - 1.2) L
Difference of milk and water = (5x-2.2) - (3x-1.2) = 5
2x - 1 = 5
x = 3
Difference of milk and water in initial mixture = 5x - 3x = 2x = 2*3 = 6 liters
Correct Option 2)

Correct Option: 2 Best Solution (1)

G.S.Kantharao   2 years AGO

Ratio of milk and water =5:3
Removed quantity=lt.4.8
Added milk and water =800ml,600ml
Difference=200ml
After adding difference =5lt
Before adding = lt.4.8.
Difference of ratio =5-3=2units
Total quantity after removing lt.4.8 is lt.19.2
Initial mixture=lt.19.2+lt.4.8=lt.24
Quantities of milk and water
are = lt.15,lt.9
Difference of water and milk
is =lt.6
My option is 2👈

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