The pie chart shows the allocation of money to each sector in a farm. The total amount allocated to the farm is ₦ 80 000. Find the amount allocated to fertilizer
A.
₦ 35, 000
B.
₦ 40,000
C.
₦ 25,000
D.
₦ 20,000
Correct Answer: ₦ 20,000
Explanation
Total angle at a point = 3600
∴ To get the angle occupied by fertilizer we have,
40 + 50 + 80 + 70 + 30 + fertilizer(x) = 360
270 + x = 360
x = 360 - 270
x = 90
Total amount allocated to the farm
= ₦ 80,000
∴Amount allocated to the fertilizer
= (fertilizer (angle) × Total amount)/total angle
= 90/360 × 80,000
= ₦20,000
Total angle at a point = 3600
∴ To get the angle occupied by fertilizer we have,
40 + 50 + 80 + 70 + 30 + fertilizer(x) = 360
270 + x = 360
x = 360 - 270
x = 90
Total amount allocated to the farm
= ₦ 80,000
∴Amount allocated to the fertilizer
= (fertilizer (angle) × Total amount)/total angle
= 90/360 × 80,000
= ₦20,000
