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?

  • A N42,000
  • B N18,000
  • C N16,000
  • D N12,000
jamb 2014mathematics

The correct answer is C. N16,000

Angle of sector subtended by yam

= 360

o= 360

- (70 + 80 + 50)

o- (70 + 80 + 50)

= 360

o= 360

- 200

o- 200

= 160

o= 160

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

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