Discussion
In what ratio must water be mixed with milk to gain 16 2/3 % by selling the mixture at cost price?
Answer: A
Selling at cost price means the entire gain comes from the free water.
A gain of \( 16\tfrac{2}{3}\% = \tfrac{1}{6} \) means the profit is one sixth of the cost, and the profit is exactly the value of the water:
\[ \frac{\text{water}}{\text{milk}} = \frac{1}{6} \]
Checking with 6 litres of milk costing Rs. 6: adding 1 litre of water gives 7 litres sold at Rs. 7, a profit of Re. 1 on a cost of Rs. 6 - exactly \( 16\tfrac{2}{3}\% \).
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