Question

The following pie chart depicts the expenditure of a state government under different heads.
(i) If the total spending is $$ 10 $$ crores, how much money was spent on roads?
(ii) How many times is the amount of money spent on education compared to the amount spent on roads ?
(iii) What fraction of the total expenditure is spent on both roads and public welfare together?

Answer 1

(i) Amount spent on roads = $$ 10 \%$$ of total spending =

$$ = \cfrac {10}{100} \times $$ Total amount

$$ = \cfrac {10}{100} \times 10 $$ crore = $$ 1 $$ crore.

(ii) Amount spent on education = $$ 25 \%$$ of total spending =

$$ = \cfrac {25}{100} \times $$ Total amount

$$ = \cfrac {25}{100} \times 10 $$ crore = $$ 2.5 $$ crore

Amount spent on roads = $$ \cfrac {100}{100} \times 10 $$ crore = $$ 1 $$ crore

Now,

$$ \frac { \text{Amount spent on education} }{\text{ amount spent on roads} } =\cfrac { 2.5crore }{ 1crore } =2.5$$

$$ \Rightarrow$$ Amount spent on education = $$ 2.5 \times $$ amount spent on roads.

(iii) On roads = $$ \cfrac {10}{100} =\cfrac {1}{10} $$

On Public welfare = $$ \cfrac {20}{100} = \cfrac {2}{10} $$

$$ \Rightarrow $$ On road and pubic welfare = $$ \cfrac {1}{10} + \cfrac {2}{10} $$

$$ \Rightarrow $$ On road and public welfare = $$ \cfrac {3}{10} $$