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
Attached Figure / Diagram
A
₦ 35, 000
B
₦ 40,000
C
₦ 25,000
D
₦ 20,000
Verified Correct Answer: D.
Step-by-Step Mathematical Solution
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
= \(\frac{\text{fertilizer (angle) \times Total amount}}{\text{total angle}}\)
= \(\frac{90}{360}\) \times 80,000
= ₦20,000
Source: Myschool Past Questions Archive (Record #46350)