Question

A drum of kerosene is 3/4 full. When 50 liters of kerosene is drawn from it, it remains 11/16 full. What is the capacity of the drum?

• A. 900 liters
• B. 750 liters
• C. 800 liters
• D. 850 liters

Hint:

When quantities are given in fractions: - Convert all fractions to a common denominator - The difference directly gives the removed/added quantity - Then equate it to the given value to find the total

Answer 1

The Correct Option is C

Concept: The difference between the initial fraction and the final fraction represents the absolute quantity removed.
Step 1: Calculate the fractional change.
Let capacity be \(C\).
Initial = \(\frac{3}{4}C = \frac{12}{16}C\).
Final = \(\frac{11}{16}C\).
Difference = \(\frac{12}{16} - \frac{11}{16} = \frac{1}{16}\) of the total capacity.

Step 2: Solve for total capacity.
\(\frac{1}{16}C = 50 \text{ liters}\)
\(C = 50 \times 16 = 800 \text{ liters}\).