Multiple choice

Ajay pays Rs 8.0 per litter of spirit. He adds water and sells the mixture at Rs 9 per litter, thereby making 40 % profit. The proportion of water to spirit received by the customers is?

  1. 45:11

  2. 11:45

  3. 2:45

  4. 45:2

  5. 11:2
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

A 40% profit means the cost of each litre of mixture is 9/1.4 = 45/7 rupees. Since spirit costs Rs. 8 per litre, the spirit fraction is 45/56 and the water fraction is 11/56, giving water to spirit as 11:45.

AI explanation

Ajay's cost price (CP) per liter of the spirit and water mixture is calculated by dividing the selling price of Rs 9 by 1.40, which results in a CP of Rs 6.428 per liter. Applying the Rule of Alligation with the cost of pure spirit at Rs 8 and water at Rs 0, the ratio of their quantities is proportional to the differences between the mean price and individual costs. This calculation yields a water to spirit ratio of 1.571 : 6.428, which is approximately 11:45.

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