1400 ml of mixture contains milk and water in the ratio of 5 : 3. What amount…
2023
1400 ml of mixture contains milk and water in the ratio of 5 : 3. What amount of water should be added to make the ratio 5 : 4?
- A.
175 ml
- B.
200 ml
- C.
150 ml
- D.
115 ml
Attempted by 21 students.
Show answer & explanation
Correct answer: A
Step 1: Find the amount of milk in the original mixture. Milk = (5/(5+3)) × 1400 = 5/8 × 1400 = 875 ml.
Step 2: Find the initial amount of water. Water = 1400 − 875 = 525 ml.
Step 3: Let x ml of water be added. Milk remains 875 ml and water becomes 525 + x ml. Set up the required ratio:
875/(525 + x) = 5/4
Multiply both sides: 4 × 875 = 5 × (525 + x) → 3500 = 2625 + 5x.
Subtract 2625: 875 = 5x → x = 875/5 = 175 ml.
Answer: 175 ml of water should be added.