The pie chart given below represents the number of stationery items sold in a month at a shop. If the total no. of items sold was 1080, find the number of pens, notebooks, books and other items sold.

Pens - 330; Notebooks - 320; Books - 195; Others - 235

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Pens - 360; Notebooks - 320; Books - 175; Others - 225

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Pens - 390; Notebooks - 300; Books - 175; Others - 215

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Pens - 360; Notebooks - 300; Books - 195, Others - 225

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Solution

The correct option is D
Pens - 360; Notebooks - 300; Books - 195, Others - 225

We know if x fraction of total items is shown on a pie chart, angle θ = x×360^o

⇒ x = $\frac{θ}{360^{\circ}}$ ; where x = $\frac{N u m b e r o f p a r t i c u l a r i t e m s s o l d}{T o t a l n u m b e r o f i t e m s s o l d}$

∴ Number of particular items sold = $\frac{θ}{360^{\circ}}$ ×1080

Pens = $\frac{75^{\circ}}{360^{\circ}}$ ×1080 = 225

Notebooks = $\frac{100^{\circ}}{360^{\circ}}$ ×1080 = 300

Books = $\frac{65^{\circ}}{360^{\circ}}$ ×1080 = 195

Others = $\frac{120^{\circ}}{360^{\circ}}$ ×1080 = 360

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