Question
Download Solution PDFStudy the following pie chart and answer the following questions
Total number of students in five institutes = 3600
|
Ratio between boys and girls |
|
|
Institute |
Boys ∶ Girls |
|
A |
7 ∶ 5 |
|
B |
4 ∶ 5 |
|
C |
7 ∶ 11 |
|
D |
5 ∶ 4 |
|
E |
5 ∶ 7 |
The difference between the average number of girls in Institutes A, B and E and the number of boys in Institute D is x. The value of x lies between
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFCalculation:
Number of girls in institute A = 3600 × 18% × 5/(7 + 5) = 270
Number of girls in institute B = 3600 × 24% × 5/(4 + 5) = 480
Number of girls in institute E = 3600 × 16% × 7/(5 + 7) = 336
The average number of girls in Institutes A, B, and E = (270 + 480 + 336)/3 = 362
Number of boys in institute D = 3600 × 22% × 5/(5 + 4) = 440
Now, The difference between the average number of girls in Institutes A, B and E and the number of boys in Institute D
⇒ 440 - 362
⇒ 78 = x
∴ The value of x lies between 70 and 80.
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