80 litres of a mixture contains milk and water in the ratio of 27 ∶ 5. How much more water is to be added to get a mixture containing milk and water in the ratio of 3 ∶ 1?

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Bihar STET Paper I: Mathematics (Held In 2019 - Shift 1)
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  1. 10 litres
  2. 15 litres
  3. 20 litres
  4. 25 litres

Answer (Detailed Solution Below)

Option 1 : 10 litres
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Bihar STET Paper 1 Mathematics Full Test 1
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Detailed Solution

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Given:

80 liters of a mixture contain milk and water in the ratio of 27 ∶ 5.

Calculation:

Milk = \(\dfrac{27}{32}\) × 80 = 67.5 L

Water = 80 - 67.5 = 12.5 L

Let, m = water to be added to get 3 : 1

\(\dfrac{67.5}{12.5 + m}\) = 3

⇒ 67.5 = 37.5 + 3m

⇒ m = 10

∴ The quantity of water to be added to get 3 : 1, is 10 litres.

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