Multiple choice

The quantity of water in litres that must be added to 12 litres of drink priced at Rs. 10 a litre to reduce the price to Rs. 8 a litre is (in litres)

  1. 3

  2. 1

  3. 2

  4. 3.5

  5. 4
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Initial cost = 12 * 10 = 120. Let x be water added. New volume = 12 + x. New price = 120 / (12 + x) = 8. 120 = 96 + 8x, so 8x = 24, x = 3.

AI explanation

Using the rule of alligation, the cost of pure drink is Rs. 10 and the cost of water is Rs. 0, while the desired price is Rs. 8. The ratio of drink to water is calculated as (8 minus 0) to (10 minus 8), which is 8 to 2 or 4 to 1. Since the pot contains 12 litres of drink, the required quantity of water is 12 divided by 4, resulting in 3 litres.

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