A vessel contains Mixture of milk and water in ratio of 4: 5. On adding 26 litres of water in vessel respective ratio of water and milk becomes 4:3. If K litres of milk added to initial mixture so that ratio of milk and water becomes 17:13. Find the value of K.
This questions was previously asked in
RRB PO Prelims (06 Aug 2023, Shift 4)
Explanation:
- Initial Setup: The initial ratio of milk to water is 4:5. Let's assume 4x liters of milk and 5x liters of water are present.
- Water Added: By adding 26 liters of water, resulting in a new water-to-milk ratio of 4:3, we calculate the following:
\[
\frac{5x + 26}{4x} = \frac{4}{3}
\]
Solving gives \(x = 6 \). Thus, initial milk = 24 liters, and initial water = 30 liters.
- Milk to Water Ratio Change: When \(K\) liters of milk is added, the desired ratio becomes 17:13:
\[
\frac{24 + K}{56} = \frac{17}{13}
\]
Solving this provides \(K = 198\).
- Conclusion and Answer:
- Add 198 liters of milk to achieve a 17:13 ratio of milk to water.
- The correct answer is 198 liters, which matches *Option 5*.
- The Correct Answer: Option 5 - 198 L
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By: Parvesh Mehta