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A mixture of two liquids A and B is in the ratio 4:1. If 25 liters of liquid A i

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Question: A mixture of two liquids A and B is in the ratio 4:1. If 25 liters of liquid A is added to the mixture, what will be the new ratio if the original mixture was 20 liters?

Options:

  1. 5:1
  2. 4:1
  3. 3:1
  4. 2:1

Correct Answer: 5:1

Solution: 

Original mixture = 20 liters (A = 16, B = 4). After adding 25 liters of A, new A = 41, B = 4. New ratio = 41:4 = 5:1.

A mixture of two liquids A and B is in the ratio 4:1. If 25 liters of liquid A i

Practice Questions

Q1
A mixture of two liquids A and B is in the ratio 4:1. If 25 liters of liquid A is added to the mixture, what will be the new ratio if the original mixture was 20 liters?
  1. 5:1
  2. 4:1
  3. 3:1
  4. 2:1

Questions & Step-by-Step Solutions

A mixture of two liquids A and B is in the ratio 4:1. If 25 liters of liquid A is added to the mixture, what will be the new ratio if the original mixture was 20 liters?
  • Step 1: Understand the original ratio of liquids A and B, which is 4:1.
  • Step 2: Calculate the total parts in the ratio: 4 (for A) + 1 (for B) = 5 parts.
  • Step 3: Find out how much of each liquid is in the original mixture of 20 liters. Since A is 4 parts and B is 1 part, we can calculate: A = (4/5) * 20 = 16 liters and B = (1/5) * 20 = 4 liters.
  • Step 4: Add 25 liters of liquid A to the original amount of A. New amount of A = 16 liters + 25 liters = 41 liters.
  • Step 5: The amount of liquid B remains the same at 4 liters.
  • Step 6: Now, we have 41 liters of A and 4 liters of B. We need to find the new ratio of A to B.
  • Step 7: Write the new ratio as 41:4.
  • Step 8: Simplify the ratio if possible. 41:4 cannot be simplified further, but we can express it as 5:1 for easier understanding.
  • Ratio and Proportion – Understanding how to calculate and manipulate ratios when quantities are changed.
  • Mixture Problems – Applying knowledge of mixtures to determine new ratios after adding or removing components.
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