Question

The following pie diagram represents the sectorwise loan amount in crores of rupees distributed by a bank. From the information answer the following questions :

a. If the dairy sector receives `20 crores, then find the total loan disbursed.
b. Find the loan amount for agriculture sector and also for industrial sector.
c. How much additional amount did industrial sector receive than agriculture sector?

Answer 1

We compute the central angle for each crop as shown in the following table :
Central angle = `"Value of component"/"Total value of components" xx 100`

Sector	Measure of central angle	Amount (in crores)
Agriculture	120°	`120/360xx180=Rs.60`
Dairy	40°	Rs.20
Industry	360-(120°+40°) =200	`200/360xx180=Rs.100`
Total	360°	Rs.180

(a) the total loan disbursed for dairy sector :
Dairy sector receives Rs. 20 crores.
m of central ∠ for dairy = 40°
∴ Let total loan distribute for Dairy = x
∴ `x = [20 xx 360]/40 = 180`
Total loan disbursed for Diary is 180 crores.

(b) Total loan for the agriculaure sector :
`120/360xx180 = "Rs."60`
∴ the agriculture share = 60 crores.

(c)  Total loan for industrial sector :

`200/360xx180="Rs."100`
∴ the Industrial sector share = 100 crores.

The additional amount the industrial sector received than the agriculture sector

= Rs.100 - Rs. 60

= Rs. 40 crores.