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26 vote

A vessel is full of a mixture of kerosene and petrol in which there is 20% kerosene. 5 litres are drawn off and then the vessel is filled with petrol. If the kerosene is now 15%, how much does the vessel hold?

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A vessel is full of a mixture of kerosene and petrol in which there is 20% kerosene. 5 litres are drawn off and then the vessel is filled with petrol. If the kerosene is now 15%, how much does the vessel hold?
1). 30 litres
2). 35 litres
3). 26 litres
4). 32 litres


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1 answers

20 vote
Answered by on | Votes 20 |

Let the total capacity of vessel be x litres

Kerosene in the vessel = 20x/100

Kerosene after 5 litres are drawn = 15x/100

Kerosene in 5 litres of mixture = (20 × 5)/100

⇒ 20x/100 – (20 × 5)/100 = 15x/100

⇒ 20x – 100 = 15x

⇒ 5x = 100

⇒ x = 20

Thus, Vessel holds 20 litres of kerosene

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