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Exercises · Q11
Q.

A company's total annual expenditure of ₹20,00,000 is distributed under the following heads. Draw a pie diagram showing the percentage and angle for each head.

HeadRaw MaterialsWagesRentMarketingMiscellaneous
Amount (₹)8,00,0006,00,0002,00,0003,00,0001,00,000
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Step 1 — Compute each head's percentage of the ₹20,00,000 total.

Raw Materials=8000002000000×100=40%\text{Raw Materials} = \dfrac{800000}{2000000}\times100 = 40\%

Wages=6000002000000×100=30%\text{Wages} = \dfrac{600000}{2000000}\times100 = 30\%

Rent=2000002000000×100=10%\text{Rent} = \dfrac{200000}{2000000}\times100 = 10\%

Marketing=3000002000000×100=15%\text{Marketing} = \dfrac{300000}{2000000}\times100 = 15\%

Miscellaneous=1000002000000×100=5%\text{Miscellaneous} = \dfrac{100000}{2000000}\times100 = 5\%

Check: 40+30+10+15+5=100%40+30+10+15+5=100\% ✓.

Step 2 — Convert each percentage to a sector angle (since 360°360° corresponds to 100%100\%, multiply each percentage by 3.6°3.6°).

40×3.6=144°,30×3.6=108°,10×3.6=36°,15×3.6=54°,5×3.6=18°40\times3.6=144°,\quad 30\times3.6=108°,\quad 10\times3.6=36°,\quad 15\times3.6=54°,\quad 5\times3.6=18°

Check: 144+108+36+54+18=360°144+108+36+54+18=360° ✓.

Step 3 — Draw the pie diagram.

Figure 18 — Pie Diagram of Company Annual Expenditure
Figure 18 — Pie Diagram of Company Annual Expenditure
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