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In a study, 80% of patients with a certain disease showed improvement after trea

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Question: In a study, 80% of patients with a certain disease showed improvement after treatment. If 50 patients were treated, how many patients are expected to show improvement? (2023)

Options:

  1. 30
  2. 35
  3. 40
  4. 45

Correct Answer: 40

Exam Year: 2023

Solution: 

Expected improvement = 80% of 50 = 0.8 × 50 = 40 patients.

In a study, 80% of patients with a certain disease showed improvement after trea

Practice Questions

Q1
In a study, 80% of patients with a certain disease showed improvement after treatment. If 50 patients were treated, how many patients are expected to show improvement? (2023)
  1. 30
  2. 35
  3. 40
  4. 45

Questions & Step-by-Step Solutions

In a study, 80% of patients with a certain disease showed improvement after treatment. If 50 patients were treated, how many patients are expected to show improvement? (2023)
  • Step 1: Understand that 80% means 80 out of every 100 patients.
  • Step 2: Convert 80% into a decimal. 80% as a decimal is 0.8.
  • Step 3: Identify the total number of patients treated, which is 50.
  • Step 4: Multiply the decimal (0.8) by the total number of patients (50).
  • Step 5: Calculate 0.8 × 50 = 40.
  • Step 6: Conclude that 40 patients are expected to show improvement.
  • Percentage Calculation – Understanding how to calculate a percentage of a total number.
  • Basic Arithmetic – Applying multiplication to find the expected number of patients showing improvement.
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