Multiple choice

A milk vendor bought 28 litres of milk at the rate of Rs. 8.50 per litre. After adding some water, he sold the mixture at the same price. If his gain is 12.5%, how much water did he add?

  1. 4.5 litres

  2. 4 litres

  3. 3.5 litres

  4. 3 litres
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let x be the amount of water added. CP = 28 * 8.5 = 238. SP = (28 + x) * 8.5. Profit = 12.5% of 238 = 29.75. SP = 238 + 29.75 = 267.75. (28 + x) * 8.5 = 267.75. 28 + x = 31.5. x = 3.5.

AI explanation

The total cost price of 28 litres of milk is 28 times 8.50, which equals Rs. 238. Using the profit percentage formula, the selling price is 238 times 1.125, yielding Rs. 267.75. Since the mixture is sold at Rs. 8.50 per litre, the total volume of the mixture is 267.75 divided by 8.50, which equals 31.5 litres. Therefore, the quantity of water added is 31.5 minus 28, resulting in 3.5 litres.

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