The following table shows the number of delivery partners (in thousands) who joined five different companies during six different years. Year Companies Emazon Clipkart Twiggy Tomato Pyntra 2016 2.4 4.5 1.2 0.9 4.2 2017 1.8 5.4 1.5 1.2 5.6 2018 3.2 7.2 2.4 2.1 6.3 2019 3.9 5.6 2.8 2.7 6.5 2020 4.2 6.4 3.2 3.3 7.0 2021 5.0 7.2 3.6 3.6 7.2
Find the percentage increase in the number of delivery partners that joined Pyntra from 2017 to 2021
28.57%
Calculating Percentage Increase in Delivery Partners
The question asks us to find the percentage increase in the number of delivery partners for the company Pyntra from the year 2017 to the year 2021, based on the provided table showing data for five different companies over six years.
| Year | Emazon | Clipkart | Twiggy | Tomato | Pyntra |
|---|---|---|---|---|---|
| 2016 | 2.4 | 4.5 | 1.2 | 0.9 | 4.2 |
| 2017 | 1.8 | 5.4 | 1.5 | 1.2 | 5.6 |
| 2018 | 3.2 | 7.2 | 2.4 | 2.1 | 6.3 |
| 2019 | 3.9 | 5.6 | 2.8 | 2.7 | 6.5 |
| 2020 | 4.2 | 6.4 | 3.2 | 3.3 | 7.0 |
| 2021 | 5.0 | 7.2 | 3.6 | 3.6 | 7.2 |
To solve this, we need to follow these steps:
- Identify the number of delivery partners for Pyntra in 2017.
- Identify the number of delivery partners for Pyntra in 2021.
- Calculate the absolute increase in the number of partners from 2017 to 2021.
- Calculate the percentage increase using the formula.
Step-by-step Calculation of Pyntra Delivery Partner Increase
From the table, we can see the following data for Pyntra:
- Number of delivery partners in 2017 = 5.6 thousand
- Number of delivery partners in 2021 = 7.2 thousand
Now, let's calculate the absolute increase:
Increase = Number of partners in 2021 - Number of partners in 2017
Increase = \(7.2 - 5.6 = 1.6\) thousand
The formula for percentage increase is:
Percentage Increase \( = \left( \frac{\text{Increase}}{\text{Original Value}} \right) \times 100 \)
In this case, the original value is the number of partners in the starting year, which is 2017. So, the original value is 5.6 thousand.
Percentage Increase \( = \left( \frac{1.6}{5.6} \right) \times 100 \)
We can simplify the fraction \(\frac{1.6}{5.6}\) by removing the decimal points:
\( \frac{1.6}{5.6} = \frac{16}{56} \)
Both 16 and 56 are divisible by 8:
\( \frac{16 \div 8}{56 \div 8} = \frac{2}{7} \)
Now, substitute this simplified fraction back into the percentage increase formula:
Percentage Increase \( = \left( \frac{2}{7} \right) \times 100 \)
Percentage Increase \( = \frac{200}{7} \)
Let's perform the division:
\( 200 \div 7 \approx 28.5714...\)
Rounding to two decimal places, the percentage increase is approximately 28.57%.
Comparing this result with the given options, we find that 28.57% matches one of the choices.
Summary of Pyntra Growth
- Pyntra partners in 2017: 5.6 thousand
- Pyntra partners in 2021: 7.2 thousand
- Absolute increase: 1.6 thousand
- Percentage increase: \( \approx 28.57\% \)
Revision Table: Key Concepts
| Concept | Description | Formula (where applicable) |
|---|---|---|
| Data Interpretation | Reading and understanding information presented in tables or charts. | N/A |
| Percentage Increase | Measuring the growth of a value as a percentage of its original value. | \( \left( \frac{\text{New Value} - \text{Original Value}}{\text{Original Value}} \right) \times 100 \) |
| Original Value | The starting value from which the increase is measured (value in 2017 in this case). | N/A |
| New Value | The ending value to which the increase is measured (value in 2021 in this case). | N/A |
Additional Information: Understanding Percentage Change
Percentage change is a useful concept for understanding the relative change in a quantity over time or between two different points. It allows us to compare changes across different values, even if the absolute changes are different. For example, an increase of 10 partners might be very significant if the original number was 20 (50% increase), but insignificant if the original number was 1000 (1% increase).
Percentage change can be either an increase or a decrease. The formula for percentage decrease is similar, but the 'Increase' part would be the absolute decrease (Original Value - New Value).
Formula for Percentage Decrease \( = \left( \frac{\text{Original Value} - \text{New Value}}{\text{Original Value}} \right) \times 100 \)
When dealing with percentage increase, the New Value is always greater than the Original Value, resulting in a positive percentage.
Similar Questions
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Student
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K
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2016
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95
77
69
60
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96
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2018
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7500
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1000
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