Identify the correct statements: A. The ratio 5 : 4 expressed as a percentage…
2025
Identify the correct statements:
A. The ratio 5 : 4 expressed as a percentage is 125%.
B. The number 3.5 expressed as a percentage is 250%.
C. Half of 1 percent written as a decimal is 0.005.
D. 63% of 25/7 is 22.5.
Choose the correct answer from the options given below:
Answer: C. A and C Only — ConceptA percentage means a quantity per hundred. To convert a number or ratio to a percentage, multiply its numerical value by 100%. To convert a percentage…
- A.
A, B and C Only
- B.
B and C Only
- C.
A and C Only
- D.
A, B and D Only
Attempted by 17 students.
Show answer & explanation
Correct answer: C
Concept
A percentage means a quantity per hundred. To convert a number or ratio to a percentage, multiply its numerical value by 100%.
To convert a percentage to a decimal, divide by 100. For a percentage of a quantity, first write the percentage as a fraction over 100 and then multiply.
Application
For statement A: 5 : 4 = 5/4 = 1.25, and 1.25 × 100% = 125%. Therefore, statement A is true.
For statement B: 3.5 × 100% = 350%, not 250%. Therefore, statement B is false.
For statement C: half of 1% is 0.5%, and 0.5/100 = 0.005. Therefore, statement C is true.
For statement D: 63% of 25/7 = (63/100) × (25/7) = 225/100 = 2.25, not 22.5. Therefore, statement D is false.
Cross-check
Converting 125% back to a decimal gives 1.25 = 5/4.
Converting 0.005 back to a percentage gives 0.5%, which is half of 1%.
The value 22.5 is ten times 2.25, confirming a decimal-place error in statement D.
Hence, the correct statements are A and C only.