In a mixture, there are 300 litres of milk and 100 litres of water. --- litres of mixture is taken out and --- litres of water is added. Now, the milk in the mixture is two times that of the water. Which of the following options satisfies the two blanks in the question A. 120, 40 B. 80, 40 C. 80, 20 D. 120, 40 E. 100, 40?

Question

In a mixture, there are 300 litres of milk and 100 litres of water. --- litres of mixture is taken out and --- litres of water is added. Now, the milk in the mixture is two times that of the water. Which of the following options satisfies the two blanks in the question A. 120, 40 B. 80, 40 C. 80, 20 D. 120, 40 E. 100, 40?

Only A
Only B
Only C
Only D
Both B and C

LohaHridoy

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2025-01-04 04:42

1 Answers

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AhmedNazir · Accepted Answer · 2022-09-04T04:29:57+06:00

Option 2 : Only B

Quantity of mixture = 300 + 100 = 400 litres

By option A:

When 120 litres of mixture is taken out

Quantity of milk = 300 – 3/4 × 120 = 210

Quantity of water = 100 – 1/4 × 120 = 70

40 litres of water is added, so quantity of water = 70 + 40 = 110

Ratio of milk to water = 210 : 110 = 21 : 11.

It does not satisfies.

By option B:

When 80 litres of mixture is taken out

Quantity of milk = 300 – 3/4 × 80 = 240

Quantity of water = 100 – 1/4 × 80 = 80

40 litres of water added, so quantity of water = 80 + 40 = 120

Ratio of milk to water = 240 : 120 = 2 : 1.

It satisfies the condition.

By option C:

When 80 litres of mixture is taken out

Quantity of milk = 300 – 3/4 × 80 = 240

Quantity of water = 100 – 1/4 × 80 = 80

20 litres of water is added, so quantity of water = 80 + 20 = 100

Ratio of milk to water = 240 : 100 = 12 : 5

It does not satisfy the condition.

By option D:

When 120 litres of mixture is taken out then quantity of milk = 300 – 3/4 × 120 = 210

Quantity of water = 100 – 1/4 × 120 = 70

When 40 litres of water is added, quantity of water = 70 + 40 = 110

Ratio of milk to water = 210 : 110 = 21 : 11

It does not satisfy the condition.

By option E:

When 100 litres of mixture is taken out then Quantity of milk = 300 – 3/4 × 100 = 225

Quantity of water = 100 – 1/4 × 100 = 75

When 40 litres of water is added, quantity of water = 75 + 40 = 115

Ratio of milk to water = 225 : 115 = 45 : 23.

It does not satisfy the condition.