In a vessel, there are two types of liquids A and B in the ratio of 5 : 9. 28 litre of the mixture is taken out and 2 liters of type B liquid is poured into the vessel. The new ratio (A : B) thus for…

Question

In a vessel, there are two types of liquids A and B in the ratio of 5 : 9. 28 litre of the mixture is taken out and 2 liters of type B liquid is poured into the vessel. The new ratio (A : B) thus formed is 1 : 2. Find the initial quantity of mixture in the vessel?

PYQPulse · Accepted Answer

56 litre

PYQPulse · Answer

Explanation: 56 litres In 28 litres of mixture, Liquid – A ⇒ litre 10 14 5 28 = × ; Liquid – B ⇒ litre 18 14 9 28 = × ∴ 4 16 20 9 10 2 1 2 18 9 10 5 = ⇒ − = − ⇒ = + − − x x x x x ∴ Original quantity of mixture in the vessel = 14x = 14 × 4 = 56 litre

In a vessel, there are two types of liquids A and B in the ratio of 5 : 9. 28 litre of the mixture is taken out and 2 liters of type B liquid is poured into the vessel. The new ratio (A : B) thus formed is 1 : 2. Find the initial quantity of mixture in the vessel?

Answer: D. 56 litre

Explanation

In a vessel, there are two types of liquids A and B in the ratio of 5 : 9. 28 litre of the mixture is taken out and 2 liters of type B liquid is poured into the vessel. The new ratio (A : B) thus formed is 1 : 2. Find the initial quantity of mixture in the vessel?

Answer: D. 56 litre

Explanation