Multiple choice

360 litres of milk and water in the ratio of 5:4 resp. If (x+12.5)% of this mixture is taken out and is mixed with 22 litres of water in a bucket such that the quantity of water in the bucket is 150 litres, then find the value of x ?

  1. 12.5

  2. 5

  3. 6.25

  4. 7

  5. 7.5
Reveal answer Fill a bubble to check yourself
E Correct answer
Explanation

Initial mixture: 360 litres in 5:4 ratio means 200L milk + 160L water. Removing (x+12.5)% removes (x+12.5)/100 × 160 = 1.6(x+12.5) litres of water. After mixing with 22L water, total water = 160 - 1.6(x+12.5) + 22 = 150. Solving: 182 - 1.6x - 20 = 150 → 1.6x = 12 → x = 7.5. Option E matches.

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