Direction : Study the following pie chart and answer the questions that follow : Distribution of fresh fruit stock in a supermarket Total stock of fresh fruits = 900 kg
A local bakery purchases 25 kg of Apples, 75 kg of Bananas and 80 kg of Oranges from the supermarket. If the stock of Grapes remains unchanged, what will be the revised central angle representing Bananas ?
100°
In the pie chart the full circle of 360° stands for the total stock of 900 kg, so each degree represents \(\frac{900}{360} = 2.5\text{ kg}\). Weight of a fruit = its central angle × 2.5 kg. Original stock: Apples 325 kg, Bananas 275 kg, Oranges 200 kg, Grapes 100 kg.
Step 1 — Remaining stock after the purchase: Apples 325 − 25 = 300 kg, Bananas 275 − 75 = 200 kg, Oranges 200 − 80 = 120 kg, Grapes 100 kg.
Step 2 — New total stock = 300 + 200 + 120 + 100 = 720 kg.
Step 3 — Revised angle for Bananas = \(\frac{200}{720} \times 360^\circ = 100^\circ\). 110° is the angle before the purchase, and 90° or 105° do not follow from the new totals.
100° option is correct.
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