The pie chart above shows the monthly distribution of a man's salary on food items. If he spent N8,000 on rice, how much did he spent on yam?
Attached Figure / Diagram
A
N42,000
B
N18,000
C
N16,000
D
N12,000
Verified Correct Answer: C.
Step-by-Step Mathematical Solution
Angle of sector subtended by yam
= 360o - (70 + 80 + 50)o
= 360o - 200o
= 160o
But \(\frac{80^o}{360^o}\) x T = 8000
T = \(\frac{8000 \times 360^o}{80^o}\)
= N36,000
Hence the amount spent on yam = \(\frac{160^o}{260} \times N36,000\)
= N16,000
Source: Myschool Past Questions Archive (Record #33161)