Multiple choice

Ravi adds 20% water to the existing quantity of apple juice and sells it at the same price for which he bought it. After selling a few litres of the mixture, he is caught by the police and has to bribe the policeman for Rs. 300. After paying money to the policeman, he realises that he has suffered a loss of Rs. 225. How many litres of the mixture did he sell, if he bought pure juice at Rs. 10 per litre?

  1. 45

  2. 60

  3. 50

  4. 35

  5. 55
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Let x be the original quantity of juice. Cost = 10x. Selling price = 10x (same price). After adding 20% water, quantity = 1.2x. He sells it at 10 per litre, so revenue = 10(1.2x) = 12x. Profit = 12x - 10x = 2x. He pays 300 bribe and has a net loss of 225, so 2x - 300 = -225. 2x = 75, x = 37.5. Total mixture sold = 1.2 * 37.5 = 45 litres.

AI explanation

The profit percentage from adding 20 percent water and selling at the original price is 20 percent, meaning he earns a profit of 20 percent of the cost price for every litre sold. The normal profit from selling the mixture should be Rs. 300 plus Rs. 225 to offset the bribe and the loss, which equals Rs. 525. Dividing the total required profit of Rs. 525 by the profit per litre of Rs. 2 gives the total quantity sold as 45 litres.

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