CUET · MATHS · PYQ PAPER 2023
A vessel contains 56 litres of mixture of milk and water in the ratio \(5: 2\). How much water should be mixed with it so that the milk to water ratio becomes 4:5.
- A 43 litres
- B 80 litres
- C 34 litres
- D 36 litres
Answer & Solution
Correct Answer
(C) 34 litres
Step-by-step Solution
Detailed explanation
Initial milk: \( \frac{5}{7} \times 56 = 40 \) litres Initial water: \( \frac{2}{7} \times 56 = 16 \) litres \( \frac{40}{16 + x} = \frac{4}{5} \) \( 200 = 4(16 + x) \) \( 200 = 64 + 4x \) \( 136 = 4x \) \( x = 34 \) litres
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