Question

Study the pie chart along with the table carefully to answer the given questions.
Q. Total number of boys in standards 5^th, 6^th and 7^th together is approximately what percent of the total number of girls in standards 8^th, 9^th and 10^th together?

• A. 119
• B. 117
• C. 86
• D. 114
• E. 93

Answer 1

The correct option is B 117

Total number of boys in standards 5th, 6th and 7th together $=((\frac{4}{9}\times \frac{18}{100})+(\frac{5}{8}\times \frac{16}{100})+(\frac{8}{17}\times \frac{17}{100}))\times 4500=\frac{26}{100}\times 4500=1170$
Total number of girls in standards 8th, 9th and 10th together $=((\frac{2}{5}\times \frac{18}{100})+(\frac{4}{9}\times \frac{16}{100})+(\frac{8}{15}\times \frac{15}{100}))\times 4500=\frac{\frac{1004}{45}}{100}\times 4500=1004$
Reqd. ratio is $=\frac{1170}{1004}\times 100=116.5\%\simeq 117\%$