Directions: Study the graph carefully and answer the questions given below it. |
Spendings of a country on various sports during a particular year |
How much per cent less is spent on football than that on cricket? |
A) \[22\frac{2}{9}\]%
B) \[27\]%
C) \[33\frac{1}{3}\]%
D) \[37\frac{1}{2}\]%
E) None of these
Correct Answer: C
Solution :
Let the total spendings on sports be Rs. a. Then, |
Amount spent on cricket \[=\text{Rs}\text{. }\left( \frac{81}{360}\times a \right)=\text{Rs}\text{. }\frac{9a}{40}\] |
Amount spent of football \[=\text{Rs}\text{. }\left( \frac{54}{360}a \right)=\text{Rs}\text{. }\frac{3a}{20}\] |
Now, difference \[=\text{Rs}\text{. }\left( \frac{9}{40}a-\frac{3}{20} \right)=\text{Rs}\text{. }\frac{3}{40}a\] |
Now, required percentage |
\[=\,\left[ \frac{(3a/40)}{9a/40}\times 100 \right]\,\]%=\[\frac{100}{3}\]%=\[33\frac{1}{3}\]% |
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