Question

The annual investments of a family are shown in the adjacent pie diagram. Answer the following questions based on it.
(1) If the investment in shares is Rs 2000/, find the total investment.
(2) How much amount is deposited in bank ?
(3) How much more money is invested in immovable property than in mutual fund ?
(4) How much amount is invested in post ?

Answer 1

(1)
Money invested in shares = Rs 2000
$$\begin{gathered} \Rightarrow \frac{60°}{360°}\times \mathrm{Total}\mathrm{investment}=2000 \\ \Rightarrow \mathrm{Total}\mathrm{investment}=\frac{360°}{60°}\times 2000 \\ =\mathrm{Rs}12000 \end{gathered}$$

(2)
Money invested in bank​$=\frac{90°}{360°}\times \mathrm{Total}\mathrm{investment}$
​$=\frac{1}{4}\times 12000$
= Rs 3000

(3)
Difference in the central angle between immovable property and mutual fund = 120^º − 60^º
= 60^º
Therefore, required mooney$=\frac{60°}{360°}\times \mathrm{Total}\mathrm{investment}$
​$=\frac{1}{6}\times 12000$
= Rs 2000
​
(4)
Money invested in post​$=\frac{30°}{360°}\times \mathrm{Total}\mathrm{investment}$
$=\frac{1}{12}\times 12000$
= Rs 1000