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2 vessels V1 and V2 contain liquids of different prices and with volumes 160 and 40 litres respectively. Equal quantities are drawn from both, such that the liquid drawn from V1 is poured into V2 and liquid drawn from V2 is poured into V1. Thus, the price/litre becomes equal in both Vessels. What is the quantity that was drawn from both the vessels?

2 vessels V1 and V2 contain liquids of different prices and with volumes 160 and 40 litres respectively. Equal quantities are drawn from both, such that the liquid drawn from V1 is poured into V2 and liquid drawn from V2 is poured into V1. Thus, the price/litre becomes equal in both Vessels. What is the quantity that was drawn from both the vessels? Correct Answer 32 litres

GIVEN :

2 vessels V1 and V2 contain liquids of different prices and with volumes 160 and 40 litres respectively.

Equal quantities are drawn from both, such that the liquid drawn from V1 is poured into V2 and liquid drawn from V2 is poured into V1.

Thus, the price/litre becomes equal in both Vessels.

 

CALCULATION :

Vessel V1: Quantity = 160 litre, Rate = p

Vessel V2: Quantity = 40 litre, Rate = q

Let ‘a’ litres taken out from both,

∴ Rate of vessel V1 after removal and then addition,

= /160    ----(1)

Similarly, rate of Vessel V2 after removal and then addition,

= /40     ----(2)

Equating equations (1) and (2)

/160 = /40

After solving, we get a = 32 litres

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