Question

joliet spent her july salary on food, rent and saved the rest. the pie - chart represents her expenditure.
gives that she spent rs 7000 on food.
how much more did she spend on food than savings?

Explanation:

Step1: Find the fraction of salary spent on food

The total degrees in a circle is $360^{\circ}$. The angle for food is $150^{\circ}$. So the fraction of salary spent on food is $\frac{150}{360}=\frac{5}{12}$.

Step2: Find the fraction of salary saved

The angle for savings is $60^{\circ}$. So the fraction of salary saved is $\frac{60}{360}=\frac{1}{6}$.

Step3: Find the difference in fractions

The difference in fractions of salary spent on food and saved is $\frac{5}{12}-\frac{1}{6}=\frac{5 - 2}{12}=\frac{3}{12}=\frac{1}{4}$.

Step4: Find the total salary

Since she spent 7000 on food and food is $\frac{5}{12}$ of the salary. Let the total salary be $x$. Then $\frac{5}{12}x = 7000$, so $x=7000\times\frac{12}{5}=16800$.

Step5: Find the amount more spent on food than savings

The amount more spent on food than savings is $\frac{1}{4}$ of the total salary. So it is $\frac{1}{4}\times16800 = 4200$.

Answer:

4200