Question

Atrader buys spirit at 60 per litre, adds water to it sells it at 75 per litre. If his profit in the deal is 37.5%, the ratio of spirit to water is

• A. 9 : 1
• B. 10 : 1
• C. 11 : 1
• D. None of these

Hint:

Atrader buys spirit at 60 per litre, adds water to it sells it at 75 per litre. If his profit in the deal is 37.5%, the ratio of spirit to water is

Answer 1

The Correct Option is B

CP of Spirit = 60/L. CP of Water = 0/L. SP of Mixture = 75/L. Profit % = 37.5% SP = CP * (1+Profit/100) CP of Mixture = SP / (1 + Profit%/100) = 75 / (1+ 37.5/100) = 75/ 1.375 = 54.54/L. Let the ratio of Spirit to Water = S:W. Using Alligation method, CP of Spirit CP of Water (0) CP of Mixture / / (60-54.54) = 5.45 (54.54 - 0) = 54.54 60 / / 54.54 5.45 = 10:1