There is 1000 , text{litres} of milk in a pot | vedclass

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(A) Initial quantity of milk $= 1000 \, 	ext{litres}$.Step $1$: After removing $100 \, 	ext{litres}$ of milk and adding $100 \, 	ext{litres}$ of wa

Vedclass · Accepted Answer

$432$

Vedclass · Answer

(A) Initial quantity of milk $= 1000 \, 	ext{litres}$.Step $1$: After removing $100 \, 	ext{litres}$ of milk and adding $100 \, 	ext{litres}$ of water, the remaining milk is $900 \, 	ext{litres}$. The ratio of milk to water is $900:100 = 9:1$.Step $2$: After removing $200 \, 	ext{litres}$ of the mixture, the amount of milk removed is $200 	imes (9/10) = 180 \, 	ext{litres}$. Remaining milk $= 900 - 180 = 720 \, 	ext{litres}$. Total mixture volume remains $1000 \, 	ext{litres}$ (as $200 \, 	ext{litres}$ of water is added).Step $3$: The new ratio of milk to water is $720:280 = 18:7$. The total parts $= 18 + 7 = 25$.Step $4$: After removing $400 \, 	ext{litres}$ of the mixture, the amount of milk removed is $400 	imes (18/25) = 16 	imes 18 = 288 \, 	ext{litres}$.Final quantity of milk $= 720 - 288 = 432 \, 	ext{litres}$.

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