24 litre of Glycerin is mixed with 72 litre Rose water. D litre of total mixture is taken out and 16 litre Glycerin and 24 litre Rose water are added in the mixture. The final mixture contains 30% Glycerin, find the quantity of the mixture that is taken out.
E
Correct answer
Explanation
Initial mixture: 24L glycerin + 72L rose water = 96L total with 25% glycerin. When D liters are removed, glycerin removed = 0.25D. After removing D liters and adding 16L glycerin + 24L rose water, total becomes 96-D+40=136-D liters. Glycerin becomes 24-0.25D+16=40-0.25D. For 30% glycerin: (40-0.25D)/(136-D)=0.30. Solving gives D=16. Option A (18) would give 29.4% glycerin, while option C (28) would give 28.6%.