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09 Jul 2024, 05:17
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Solution-
Number of female voters in the year 2000 --> 3300R because R represents the ratio of female to male voters in the year 2000. Given the number of male voters were 3300 so multipying 3300 with R will give the actual total number of female voters in the year 2000.
The Ratio of female to male voters in the year 2020-->
F is positive (Percent Increase) and M is negative (Percent Decrease). Thus (100+F) will represent the percent change of female voters from 2000 and (100-M) represents the percent chage of male voters from 2000.
Thus R*(100+F)/(100-M) will give the ratio of female to male voters in the year 2020 as the initial ratio was R in 2000.
Thus final answer will be-
Number of female voters in the year 2000 --> 3300R
The Ratio of female to male voters in the year 2020-->R*(100+F)/(100-M)
Number of female voters in the year 2000 --> 3300R because R represents the ratio of female to male voters in the year 2000. Given the number of male voters were 3300 so multipying 3300 with R will give the actual total number of female voters in the year 2000.
The Ratio of female to male voters in the year 2020-->
F is positive (Percent Increase) and M is negative (Percent Decrease). Thus (100+F) will represent the percent change of female voters from 2000 and (100-M) represents the percent chage of male voters from 2000.
Thus R*(100+F)/(100-M) will give the ratio of female to male voters in the year 2020 as the initial ratio was R in 2000.
Thus final answer will be-
Number of female voters in the year 2000 --> 3300R
The Ratio of female to male voters in the year 2020-->R*(100+F)/(100-M)
09 Jul 2024, 05:39
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#### Solution By Steps
***Step 1: Identify the given information***
- Elections were held every 5 years from 2000 to 2020.
- Number of male voters decreased from 3300 in 2000.
- F and M represent the percentage change in female and male voters, respectively.
- R represents the ratio of female to male voters in 2000.
***Step 2: Define the variables***
- Let \( N_{F2000} \) be the number of female voters in 2000.
- Let \( N_{M2000} \) be the number of male voters in 2000, which is 3300.
***Step 3: Calculate the number of female voters in 2000***
- Since \( N_{M2000} = 3300 \), and R is the ratio of female to male voters in 2000, we have:
\[
N_{F2000} = R \times 3300
\]
***Step 4: Calculate the number of female and male voters in 2020***
- The percentage change in female voters is F, so the number of female voters in 2020 is:
\[
N_{F2020} = N_{F2000} \times (1 + \frac{F}{100})
\]
- The percentage change in male voters is M, so the number of male voters in 2020 is:
\[
N_{M2020} = 3300 \times (1 - \frac{M}{100})
\]
***Step 5: Calculate the ratio of female to male voters in 2020***
- The ratio of female to male voters in 2020 is:
\[
R_{2020} = \frac{N_{F2020}}{N_{M2020}} = \frac{N_{F2000} \times (1 + \frac{F}{100})}{3300 \times (1 - \frac{M}{100})}
\]
- Substituting \( N_{F2000} = R \times 3300 \):
\[
R_{2020} = \frac{R \times 3300 \times (1 + \frac{F}{100})}{3300 \times (1 - \frac{M}{100})} = \frac{R \times (1 + \frac{F}{100})}{(1 - \frac{M}{100})}
\]
#### Final Answer
- The number of female voters in 2000 is \( R \times 3300 \).
- The ratio of female to male voters in 2020 is \( \frac{R \times (1 + \frac{F}{100})}{(1 - \frac{M}{100})} \).
***Step 1: Identify the given information***
- Elections were held every 5 years from 2000 to 2020.
- Number of male voters decreased from 3300 in 2000.
- F and M represent the percentage change in female and male voters, respectively.
- R represents the ratio of female to male voters in 2000.
***Step 2: Define the variables***
- Let \( N_{F2000} \) be the number of female voters in 2000.
- Let \( N_{M2000} \) be the number of male voters in 2000, which is 3300.
***Step 3: Calculate the number of female voters in 2000***
- Since \( N_{M2000} = 3300 \), and R is the ratio of female to male voters in 2000, we have:
\[
N_{F2000} = R \times 3300
\]
***Step 4: Calculate the number of female and male voters in 2020***
- The percentage change in female voters is F, so the number of female voters in 2020 is:
\[
N_{F2020} = N_{F2000} \times (1 + \frac{F}{100})
\]
- The percentage change in male voters is M, so the number of male voters in 2020 is:
\[
N_{M2020} = 3300 \times (1 - \frac{M}{100})
\]
***Step 5: Calculate the ratio of female to male voters in 2020***
- The ratio of female to male voters in 2020 is:
\[
R_{2020} = \frac{N_{F2020}}{N_{M2020}} = \frac{N_{F2000} \times (1 + \frac{F}{100})}{3300 \times (1 - \frac{M}{100})}
\]
- Substituting \( N_{F2000} = R \times 3300 \):
\[
R_{2020} = \frac{R \times 3300 \times (1 + \frac{F}{100})}{3300 \times (1 - \frac{M}{100})} = \frac{R \times (1 + \frac{F}{100})}{(1 - \frac{M}{100})}
\]
#### Final Answer
- The number of female voters in 2000 is \( R \times 3300 \).
- The ratio of female to male voters in 2020 is \( \frac{R \times (1 + \frac{F}{100})}{(1 - \frac{M}{100})} \).
RenB
Joined: 13 Jul 2022
Last visit: 18 Nov 2025
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Location: India
Concentration: Finance, Nonprofit
Schools: Stanford '26 Wharton '26 (D) Kellogg '26 (II) Booth '26 (D) Yale '26 (S) CBS '26 (II) Darden '26 (S) HBS '26 (D) Ross '26 (II) LBS '26 (D) Tuck '26 (II)
GMAT Focus 1: 715 Q90 V84 DI82 
GPA: 3.74
WE:Corporate Finance (Consulting)
Schools: Stanford '26 Wharton '26 (D) Kellogg '26 (II) Booth '26 (D) Yale '26 (S) CBS '26 (II) Darden '26 (S) HBS '26 (D) Ross '26 (II) LBS '26 (D) Tuck '26 (II)
GMAT Focus 1: 715 Q90 V84 DI82
Posts: 391
Kudos:
1,361
09 Jul 2024, 06:00
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Bunuel
Attaching my working
