Question

The bar graph shows the percentage of valid voters in 5 villages in two years 2001 and 2005. Study the graph carefully to answer questions.
Q. If the ratio of valid voters of village B in 2001 and invalid voters of village D in 2005 was 16:3, then total voters of village D in 2005 were what percent more or less than those of village B in 2001

• A. $45\frac{2}{7}\%$
• B. $53\frac{4}{5}\%$
• C. $53\frac{1}{8}\%$
• D. $52\frac{1}{8}\%$
• E. $50\frac{2}{5}\%$

Answer 1

The correct option is C $53\frac{1}{8}\%$

The total voters in village B in 2001 =X
The total voters in village D in 2005 = Y
$\frac{75X}{30Y}=\frac{16}{3}\frac{X}{Y}=\frac{32}{15}\frac{Y}{X}=\frac{15}{32}$
The required percentage $=\frac{32-15}{32}\times 100$
$53\frac{1}{8}\%$