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?

Question

Question

This question was previously asked in

SSC CHSL Exam 2023 Tier-I Official Paper (Held On: 11 Aug, 2023 Shift 4)

Answer 1

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Adding the withdrawn mixture we get,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