A family's monthly budget of ₹16,000 is allocated as follows. Draw a pie diagram to represent this data, showing the angle of each sector.

| Head | Food | Rent | Education | Savings | Others |
|---|---|---|---|---|---|
| Amount (₹) | 6,000 | 4,000 | 2,000 | 3,000 | 1,000 |

Question

A family's monthly budget of ₹16,000 is allocated as follows. Draw a pie diagram to represent this data, showing the angle of each sector.

| Head | Food | Rent | Education | Savings | Others |
|---|---|---|---|---|---|
| Amount (₹) | 6,000 | 4,000 | 2,000 | 3,000 | 1,000 |

Accepted Answer

The angle of each sector is $\dfrac{	ext{amount}}{	ext{total}}	imes 360°$, with total $=₹16{,}000$.

**Step 1 — Compute each angle.**
$$	ext{Food} = \dfrac{6000}{16000}	imes 360° = 0.375	imes 360° = 135°$$
$$	ext{Rent} = \dfrac{4000}{16000}	imes 360° = 0.25	imes 360° = 90°$$
$$	ext{Education} = \dfrac{2000}{16000}	imes 360° = 0.125	imes 360° = 45°$$
$$	ext{Savings} = \dfrac{3000}{16000}	imes 360° = 0.1875	imes 360° = 67.5°$$
$$	ext{Others} = \dfrac{1000}{16000}	imes 360° = 0.0625	imes 360° = 22.5°$$

**Step 2 — Check the angles sum to 360°.** $135+90+45+67.5+22.5 = 360°$ ✓ — this check confirms no arithmetic slip.

**Step 3 — Draw the pie diagram.**

![Figure 11 — Pie Diagram of Family Monthly Budget Allocation](/figures/wb-commerce/business-mathematics/graphical-representation-of-statistical-data/family-budget-pie-fig-11.svg) …

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