Question
Download Solution PDFBased on the data in table, answer the five questions that follow:
The following table shows the break‐up of population in terms of males, females and transgenders of five different cities A ‐ E. Some of the data in the table is in percent (%) while some data is in numbers.
City‐wise Break‐up of Population
City | Population Break-up | ||
Males | Females | Transgenders | |
A | 45% | 30% | 2000 |
B | 50% | 3000 | 35% |
C | 8000 | 35% | 15% |
D | 45% | 3600 | 25% |
E | 38% | 32% | 4200 |
Female population in City 'C' is how much percent less than the sum of male and transgender population of City 'D'?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept Used:-
The percentage is a way of comparing the quantities. Suppose, 20 number is x% of y. Then, the relation between x and y can be given as,
\(\dfrac{x}{100}\times y=20\)
The percentage is the number or ratio which can be expression in the fraction of hundred.
For example, if we have to find out the x% of 50. Then, we have to divide x with 100 and multiplied with 50.
\(x\% \text{ of }50=\dfrac{x}{100}\times50\)69
Explanation:-
Total female population is city C \(=\frac{8000}{0.5} \times 0.35=5600\)
The sum of Male and transgender population in the city D,
\(\Rightarrow \frac{3600}{0.3} \times[0.7]=8400\)
Suppose, female population in City 'C' is x% less than the sum of male and transgender population of City 'D'. Thus,
\(\Rightarrow x=\frac{8400-5600}{8400} \times 100\\ \Rightarrow x=\frac{2800}{84} \%\\ \Rightarrow x =\frac{100}{3} \%\\ \Rightarrow x=33 \frac{1}{3} \%\)
So, the Female population in City 'C' is 33\(\frac{1}{3}\%\) less than the sum of male and transgender population of City 'D'.
Hence, the correct option is 2.
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