CLAT 2020 Quantitative Techniques: Japanese Encephalitis

The following data presents the cases of Japanese Encephalitis in five states of India

Number of females affected by Japanese encephalitis in West Bengal are what percentage (up to 1 decimal) more or less than that of females affected in Odisha?

The number of females affected by encephalitis in West Bengal
\(=\frac{\text { ratio of females }}{\text { total ratio }} \times \text { Total number of people effected by encephalitis in West Bengal }\)
\(=\frac{3}{(6+3)} \times 45000=\frac{3}{9} \times 45000=15000\)

The number of females affected by encephalitis in Odisha
\(=\frac{\text { ratio of females }}{\text { total ratio }} \times \text { Total number of people effected by encephalitis in Odisha }\)
\(=\frac{7}{(12+7)} \times 57000=\frac{7}{19} \times 57000=21000\)

Comparing the numbers of West Bengal and Odisha...
\(\frac{15000}{21000}=\frac{5}{7}\)
That means the numbers of West Bengal are \(\frac{2}{7}\)^th less than the numbers of Odisha.
\(\frac{1}{7}\)^th corresponds to 14.28%.
\(\frac{2}{7}\)^th corresponds to 28.57%.

Therefore, the number of females affected by encephalitis in West Bengal is 28.57% less than that of Odisha

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