The distribution of commuters in Noida in Jan 2019 was – Car 30%, Bus 20%, Two Wheelers 10% and Metro 40%. In the month of Feb 2019, the Car commuters increase by 33.33%, Bus commuters increase by 100% and Two wheeler commuters increase by 100%. What is the percent point change in the Metro commuters in Feb if it is given that total commuters increase by 50% ?
1. 25%
2. 33.33%
3. 6.66%
4. 20%
1. 25%
2. 33.33%
3. 6.66%
4. 20%
Correct Answer – Option 1 : 25%
Calculations:
Let us say that initially there were 100 commuters.
The distribution of different modes would be a below.
⇒ Car in Jan 2019 = 30% of 100 = 30
⇒ Bus in Jan 2019 = 20% of 100 = 20
⇒ Two Wheelers in Jan 2019 = 10% of 100 = 10
⇒ Metro in Jan 2019 = 40% of 100 = 40
Now, in Feb the total commuters have increased by 50%,
so total commuters in Feb 2019 = 100 + 50% of 100 = 150
⇒ Car in Feb 2019 = 30 + 33.33% of 30 = 40
⇒ Bus in Feb 2019 = 20 + 100% of 20 = 40
⇒ Two Wheelers in Feb 2019 = 10 + 100% of 10 = 20
⇒ Metro in Feb 2019 = 150 – (40 + 40 + 20) = 50
Change in metro = 50 – 40 = 10
Percentage change in metro = (10/40) × 100 = 25%
∴ Percentage change in metro is 25%.