Directions (1 - 5): Study the following pie-chart and the table given below it carefully to answer the questions given below:
Percentage-wise distribution of lecturers in 6 different subjects in a total number of lecturers: 1600.
Ratio of male to female lecturers
Lecturers | Males : Females |
Mathematics | 3 : 4 |
Education | 5 : 3 |
Hindi | 1 : 3 |
Chemistry | 1 : 7 |
Physics | 9 : 5 |
Zoology | 7 : 9 |
Total number of lecturers (both male and female) in Hindi is approximately what percent of the total number of female lecturers in Mathematics and chemistry together?
A. 58%
B. 43%
C. 47%
D. 51%
E. 50%
Answer: Option D
Solution(By Examveda Team)
Number of lecturers in various subjects are:$$\eqalign{ & \text{Chemistry → } \frac{13}{100}\times1600 = 208 \cr & \text{Education → } \frac{18}{100}\times1600 = 288 \cr & \text{Hindi → } \frac{12}{100}\times1600 = 192 \cr & \text{Mathematics → } \frac{21}{100}\times1600 = 336 \cr & \text{Physics → } \frac{14}{100}\times1600 = 224 \cr & \text{Zoology → } \frac{22}{100}\times1600 = 352 \cr} $$
Subject | Number of Males | Number of Females |
Chemistry | 208 × $$\frac{1}{8}$$ = 26 | 208 - 26 = 182 |
Education | 288 × $$\frac{5}{8}$$ = 180 | 288 - 180 = 108 |
Hindi | 192 × $$\frac{1}{4}$$ = 48 | 192 - 48 = 144 |
Mathematics | 336 × $$\frac{3}{7}$$ = 144 | 336 - 144 = 192 |
Physics | 224 × $$\frac{9}{14}$$ = 144 | 224 - 144 = 80 |
Zoology | 352 × $$\frac{7}{16}$$ = 154 | 352 - 154 = 198 |
$$\eqalign{ & \text{Required %} \cr & = \left(\frac{192}{192+182}\times100\right)\% \cr & = \left(\frac{192}{374}\times100\right)\% \cr & = \frac{9600}{187}\% \cr & = 51.3\% \cr & \approx 51\% \cr} $$
Related Questions on Pie Chart
The annual savings in the form of provident fund would be:
A. Rs. 48456
B. Rs. 48540
C. Rs. 44856
D. Rs. 45480
A. Rs. 23545
B. Rs. 24435
C. Rs. 23555
D. Rs. 25355
The total amount per month, the family spends on food and entertainment combined together, is:
A. Rs. 11432
B. Rs. 11441
C. Rs. 12315
D. Rs. 12443
Join The Discussion