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A milk seller and a fruit seller are two enemies, jealous from each other’s progress. One day the fruit seller found that the milk seller had mixed 20% water in the milk. Out of fear he replaced one litre of mixture with one litre of pure milk which was worth Rs. 80. Milk seller had 20 litre of mixture initially, but still after fruit seller’s work on his mixture, he was in profit. Find his profit percentage.

A milk seller and a fruit seller are two enemies, jealous from each other’s progress. One day the fruit seller found that the milk seller had mixed 20% water in the milk. Out of fear he replaced one litre of mixture with one litre of pure milk which was worth Rs. 80. Milk seller had 20 litre of mixture initially, but still after fruit seller’s work on his mixture, he was in profit. Find his profit percentage. Correct Answer 23.46%

Initially for 20 litre mixture,

⇒ Milk : Water = 16 : 4

For 19 litre mixture,

⇒ Milk = 19 × 80/100 = 15.2

⇒ Water = 19 – 15.2 = 3.8

After replacement,

⇒ Milk = 15.2 + 1 = 16.2

⇒ Water = 3.8

⇒ 1 litre milk = Rs. 80

⇒ 15.2 litre milk = 80 × 16.2 = Rs. 1296

⇒ Cost Price = Rs. 1296

⇒ Selling Price = 80 × 20 = 1600

⇒ Profit % = (1600 – 1296)/1296 × 100 = 23.46%

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