Multiple choice

A jar was full of sugar solution. A person used to draw out 20% of the solution from the jar and replace with salt solution. He performs the same process 4 times and thus there was only 512 gm of sugar left in the jar, the rest part of the jar was filled with the salt solution. What was the initial amount of sugar in the jar?

  1. 0.25 kg

  2. 1.15 kg

  3. 1.00 kg

  4. 1.25 kg
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Each operation removes 20% of sugar, leaving 80%. After 4 operations, remaining sugar = initial × 0.8⁴ = initial × 0.4096. Given remaining sugar = 512 gm = 0.512 kg, so initial = 0.512/0.4096 = 1.25 kg. Option A would give 208.4 gm remaining. Option B would give 958.4 gm remaining. Option C would give 833.3 gm remaining.

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