Question

The following diagram represents the sector-wise loan amount (in crores of Rs) distributed by a bank. From the information given, answer the following questions.
(a) If the dairy sector receives Rs 20 crores, find the total loan disbursed.
(b) Find the loan amount for the agriculture sector and the industrial sector.
(c) How much additional amount did the industrial sector receive than the agricultural sector ?

Fig 6.7

Answer 1

$$\begin{gathered} \left(\mathrm{a}\right)\mathrm{Amount}\mathrm{received}\mathrm{by}\text{the}\mathrm{dairy}\text{sector}=\mathrm{Rs}20\mathrm{crores}=\mathrm{Rs}20,00,00,000 \\ \mathrm{Central}\mathrm{angle}\mathrm{for}\mathrm{the}\mathrm{sectorwise}\mathrm{loan}\mathrm{amount}\text{to the}\mathrm{dairy}\text{sector}=40° \\ \mathrm{Central}\mathrm{angle}\mathrm{for}\mathrm{the}\mathrm{sectorwise}\mathrm{loan}\mathrm{amount}\text{to}\mathrm{dairy}\text{sector}=\frac{\mathrm{Amount}\mathrm{received}\mathrm{by}\mathrm{dairy}\text{sector}}{\mathrm{Total}\mathrm{loan}\mathrm{disbursed}}\times 360° \\ \therefore 40°=\frac{200000000}{\mathrm{Total}\mathrm{loan}\mathrm{disbursed}}\times 360° \\ \therefore \mathrm{Total}\mathrm{loan}\mathrm{disbursed}=180,00,00,000=\mathrm{Rs}180\mathrm{crore} \end{gathered}$$


$$\begin{gathered} \left(\mathrm{b}\right)\mathrm{Central}\mathrm{angle}\mathrm{for}\mathrm{the}\mathrm{sectorwise}\mathrm{loan}\mathrm{amount}\text{to}\mathrm{agriculture}=120° \\ \mathrm{Central}\mathrm{angle}\mathrm{for}\mathrm{the}\mathrm{sectorwise}\mathrm{loan}\mathrm{amount}to\mathrm{agriculture}=\frac{\mathrm{Amount}\mathrm{received}\mathrm{by}\mathrm{agricuture}}{\mathrm{Total}\mathrm{loan}\mathrm{disbursed}}\times 360° \\ \therefore 120°=\frac{\mathrm{Amount}\mathrm{received}\mathrm{by}\mathrm{agricuture}}{1800000000}\times 360° \\ \therefore \mathrm{Amount}\mathrm{received}\mathrm{by}\mathrm{agricuture}=\mathrm{Rs}60,00,00,000=\mathrm{Rs}60\mathrm{crore} \end{gathered}$$


$$\begin{gathered} \mathrm{Central}\mathrm{angle}\mathrm{for}\mathrm{the}\mathrm{sectorwise}\mathrm{loan}\mathrm{amount}\text{to}\mathrm{industry}=360°-(120°+40°)=200° \\ \mathrm{Central}\mathrm{angle}\mathrm{for}\mathrm{the}\mathrm{sectorwise}\mathrm{loan}\mathrm{amount}\text{to}\mathrm{industry}=200° \\ \mathrm{Central}\mathrm{angle}\mathrm{for}\mathrm{the}\mathrm{sectorwise}\mathrm{loan}\mathrm{amount}\text{to}\mathrm{industry}=\frac{\mathrm{Amount}\mathrm{received}\mathrm{by}\mathrm{industry}}{\mathrm{Total}\mathrm{loan}\mathrm{disbursed}}\times 360° \\ \therefore 200°=\frac{\mathrm{Amount}\mathrm{received}\mathrm{by}\mathrm{industry}}{1800000000}\times 360° \\ \therefore \mathrm{Amount}\mathrm{received}\mathrm{by}\text{industry}=\mathrm{Rs}100,00,00,000=\mathrm{Rs}100\mathrm{crore} \end{gathered}$$

(c) Additional amount received by industrial sector than agricultural sector= Rs (100,00,00,000-60,00,00,000) = Rs 40,00,00,000=Rs 40 crore