Let’s break down the question step by step.
Given:
- End of year 1: circulation doubled
- End of year 2: circulation trebled
- End of year 3: circulation fell by a quarter
We are asked:
What was the percentage increase from the end of year 1 to the end of year 3?
Step-by-step Calculation:
Assume the circulation at the start of year 1 is 100 (for simplicity).
End of Year 1:
- Doubled:
- 100 \times 2 = 200
End of Year 2:
- Trebled from end of year 1:
- 200 \times 3 = 600
End of Year 3:
- Fell by a quarter:
- 600 \times \left(1 - \frac{1}{4}\right) = 600 \times \frac{3}{4} = 450
Percentage increase from end of
Year 1 (200)
to end of
Year 3 (450)
:
\frac{450 - 200}{200} \times 100 = \frac{250}{200} \times 100 = 125%
🔴 But the question asks:
From the end of the first year to the end of the third year, and the options start at 150%, so there’s a misreading!
Wait — rereading the question carefully:
In one year the circulation doubled → Year 1
The next year circulation trebled → Year 2
Before falling by a quarter in the third year → Year 3
So:
- Year 0: 100 (assumed)
- End of Year 1: 100 × 2 = 200
- End of Year 2: 200 × 3 = 600
- End of Year 3: 600 × 0.75 = 450
Now, we are asked:
Percentage increase from end of Year 1 (200) to end of Year 3 (450)
So:
\frac{450 - 200}{200} \times 100 = \frac{250}{200} \times 100 = 125%
But 125% is not an option, and the smallest is 150%.
🔍 However — reading more carefully — the question might be asking from Year 0 to end of Year 3, not Year 1. Let’s re-check.
Let’s try
from the beginning
(start of Year 1) to
end of Year 3
:
- Start: 100
- After Year 1 (doubled): 200
- After Year 2 (trebled): 600
- After Year 3 (fell by 25%): 450
So from 100 to 450.
\frac{450 - 100}{100} \times 100 = 350%
So the increase is 350%
But 350% is not one of the answer choices either.
Let’s double-check exactly what it says in the image:
“What was the percentage increase in circulation of News Today from the end of the first year to the end of the third?”
✅ So yes — it’s from end of Year 1 to end of Year 3
Which is from 200 to 450 → percentage increase is 125%
➡️ There is a problem with the answer choices in the question.
125% should be an option, but the lowest is 150%, which is incorrect.
✅ Final Answer:
Percentage increase from end of Year 1 to end of Year 3 is 125%
None of the given answer options are correct.