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18 litres of Petrol was added to a vessel containing 80 litres of Kerosene. 49 litres of the resultant mixture was taken out and some more quantity of petrol and kerosene was added to the vessel in the ratio 2:1. If the respective ratio of kerosene and petrol in the vessel was 4:1, what was the quantity of kerosene added in the vessel?
  • a)
    1 litre
  • b)
    2 litre
  • c)
    5 litre
  • d)
    3 litre
  • e)
    None of the Above
Correct answer is option 'E'. Can you explain this answer?
Verified Answer
18 litres of Petrol was added to a vessel containing 80 litres of Kero...
Answer – E. None of the Above Explanation : Total quantity of the mixture = 18+80 = 98 litre quantity of petrol remaining = 18/2 = 9 quantity of kerosene remaining = 80/2 = 40 (40 + 2x) / (9 + x) = 4 / 1 x = 2 Quantity of kerosene added in the vessel = 2x = 4 litre
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Most Upvoted Answer
18 litres of Petrol was added to a vessel containing 80 litres of Kero...
Given:
Initial quantity of petrol = 18 litres
Initial quantity of kerosene = 80 litres
Quantity of mixture taken out = 49 litres

Let's solve this problem step by step.

Step 1: Finding the quantity of petrol and kerosene in the vessel after adding 18 litres of petrol
Total quantity of petrol = Initial quantity of petrol + Added petrol = 18 litres + 18 litres = 36 litres
Total quantity of kerosene = Initial quantity of kerosene = 80 litres

Step 2: Finding the quantity of petrol and kerosene in the mixture taken out
Let's assume x litres of petrol and y litres of kerosene were present in the mixture taken out.
According to the given information, the ratio of kerosene and petrol in the mixture taken out is 4:1.
So, we have the equation:
y/x = 4/1

Also, the total quantity of mixture taken out is 49 litres.
So, we have another equation:
x + y = 49

Solving these two equations, we get:
x = 7 litres
y = 28 litres

Step 3: Finding the quantity of petrol and kerosene in the vessel after adding more petrol and kerosene in the ratio 2:1
Let's assume a litres of petrol and b litres of kerosene were added to the vessel.
According to the given information, the ratio of kerosene and petrol added is 2:1.
So, we have the equation:
b/a = 2/1

Also, the total quantity of petrol and kerosene in the vessel after adding is:
Total quantity of petrol = Initial quantity of petrol + Added petrol = 36 litres + a litres
Total quantity of kerosene = Initial quantity of kerosene + Added kerosene = 80 litres + b litres

Step 4: Finding the quantity of kerosene added in the vessel
Now, we need to find the value of b (quantity of kerosene added to the vessel).
To find b, we can use the equation y/x = 4/1 from Step 2.
Substituting the values of y and x from Step 2, we get:
28/a = 4/1
Cross-multiplying, we get:
4a = 28
a = 7

Substituting the value of a in the equation b/a = 2/1 from Step 3, we get:
b/7 = 2/1
Cross-multiplying, we get:
b = 14

Therefore, the quantity of kerosene added in the vessel is 14 litres.

Hence, the correct answer is option E) None of the above.
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18 litres of Petrol was added to a vessel containing 80 litres of Kerosene. 49 litres of the resultant mixture was taken out and some more quantity of petrol and kerosene was added to the vessel in the ratio 2:1. If the respective ratio of kerosene and petrol in the vessel was 4:1, what was the quantity of kerosene added in the vessel?a)1 litreb)2 litrec)5 litred)3 litree)None of the AboveCorrect answer is option 'E'. Can you explain this answer?
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