Select the correct alternative from the given choices
A school has classes from VI to X . The total number of students in the school is 2800. 25% of the students are in class VI, `15% of the students are in class VII. The number of students in class VIII is 85% of the number of students in class VI. The number of students in class X is 100% more than the number of students in class VII. Find the ratio of number of students in class VIII to those in class IX, respectively.

Options

A. `119:49`
B. `17:7`
C. `50:119`
D. `18:11`

Answer

B

Explanation

Total students = 2800
Number of students in class VI= 25% of 2800= 700
Number of students in class VII= 15%of 2800 = 420
Number of students in class VIII= 85% of 700 = 595
Number of students in class X= `2 xx 420= 245`
`therefore` Required ratio = 595:245 = 119:49= 17:7