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Question

The total exports and revenues from the exports of a country are given in the two pie charts below. The pie chart for exports shows the quantity of each item as a percentage of the total quantity of exports. The pie chart for the revenues shows the percentage of the total revenue generated through export of each item. The total quantity of exports of all the items is 5 lakh tonnes and the total revenues are 250 crore rupees. What is the ratio of the revenue generated through export of Item 1 per kilogram to the revenue generated through export of Item 4 per kilogram? 

The correct answer is
4:1

To find the ratio of the revenue generated through the export of Item 1 per kilogram to the revenue generated through the export of Item 4 per kilogram, we follow these steps:

  1. From the given pie charts, we identify the percentage of exports and revenue for Items 1 and 4:
    • Item 1: Exports = 11%, Revenue = 12%
    • Item 4: Exports = 22%, Revenue = 6%
  2. Calculate the quantity of Item 1 exported: \(0.11 \times 500,000 = 55,000\) kg.
  3. Calculate the revenue from Item 1: \(0.12 \times 250\) crores = 30 crores.
  4. Revenue per kg for Item 1: \(\frac{30 \text{ crores}}{55,000 \text{ kg}} = \frac{3,000}{55} \text{ rupees/kg}\).
  5. Calculate the quantity of Item 4 exported: \(0.22 \times 500,000 = 110,000\) kg.
  6. Calculate the revenue from Item 4: \(0.06 \times 250\) crores = 15 crores.
  7. Revenue per kg for Item 4: \(\frac{15 \text{ crores}}{110,000 \text{ kg}} = \frac{1,500}{110} \text{ rupees/kg}\).
  8. Now, find the ratio of revenue per kg for Item 1 to Item 4:

\(\frac{\frac{3,000}{55}}{\frac{1,500}{110}} = \frac{3,000 \times 110}{1,500 \times 55} = \frac{330,000}{82,500} = 4\).

Thus, the required ratio is 4:1.

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