Vidhan has a bottle full of milk. He pours half the content of the bottle into an empty can, then fills the bottle completely with water and mixes thoroughly. Then he repeats this process for 48 times more. Afterward, he pours the whole content of the bottle into the can. If the capacity of the bottle is 10 liters, then what is the ratio of the volume of the mango juice to the volume of water in the can?
Explanation:
Since finally the whole content of the bottle is transferred into the can, total milk transferred in the can = amount of milk present initially in the bottle = 10 litres.
Amount of water in the can = amount of water added in the bottle.
Now, Vidhan adds 5 litres of water a total of 49 times. Hence, amount of water added in the bottle = 5 × 49 = 145 litres.
∴ Amount of water in the can = 245 litres.
⇒ Ratio of amount of milk and water in the can = 10 : 245 = 2 : 49.
Hence, option (a).
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