Two jars A and B are containing the solutions of two liquids P and Q. The ratio of the liquids P and Q in the jars A and B are 2 ∶ 19 and 1 ∶ 11, respectively. If 7 litres of the solution of jar A and 4 litres of the solution of jar B are mixed, what is the ratio of the solutions P and Q in the new mixture?

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SSC CHSL Exam 2023 Tier-I Official Paper (Held On: 11 Aug, 2023 Shift 4)
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  1. 10 ∶ 1
  2. 1 ∶ 9
  3. 9 ∶ 1
  4. 1 ∶ 10

Answer (Detailed Solution Below)

Option 4 : 1 ∶ 10
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Detailed Solution

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Given 

The ratio of liquids P and Q in jars A and B are 2 ∶ 19 and 1 ∶ 11, respectively

7 litres of the solution of jar A and 4 litres of the solution of jar B are mixed

Concept used

If some mixture is taken out, it's drawn in the same initial ratio.

Calculation 

When 7 litres of mixture is taken out from jar A:

P = 7 × 2/21 and Q = 7 × 19/21

When 4 litres of mixture is taken out from jar B:

P = 4 × 1/12  and Q = 4 × 11/12

Adding the withdrawn mixture we get,

P = 7 × 2/21 + 4 × 1/12 

= 2/3 + 1/3 = 1

and Q = 7 × 19/21 + 4 × 11/12

= 19/3 + 11/3 = 30/3 = 10

P = 1 and Q = 10

The ratio of the solutions P and Q in the new mixture is 1:10

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