Q.8 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?

Q.8 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?
(A) 1:2    (B) 2:1    (C) 1:4    (D) 4:1

Pie chart–based data interpretation questions are frequently asked in competitive exams such as SSC,
Banking, and other aptitude tests. This question evaluates the ability to combine export quantity
percentages with revenue percentages to determine the ratio of revenue per kilogram from exports.

Question Overview

Two pie charts are given:

  • Exports Pie Chart – shows the percentage of total export quantity
  • Revenues Pie Chart – shows the percentage of total export revenue

Given:

  • Total export quantity = 5 lakh tonnes
  • Total export revenue = ₹250 crore

Required: Find the ratio of revenue generated per kilogram from export of
Item 1 to Item 4.

Step 1: Extract Data from Pie Charts

Export Quantity Distribution

  • Item 1 = 11%
  • Item 4 = 22%

Revenue Distribution

  • Item 1 = 12%
  • Item 4 = 6%

Step 2: Calculate Exported Quantities

Total quantity = 5 lakh tonnes

  • Item 1 quantity = 11% of 5 lakh = 0.55 lakh tonnes
  • Item 4 quantity = 22% of 5 lakh = 1.10 lakh tonnes

Step 3: Calculate Revenue Earned

Total revenue = ₹250 crore

  • Item 1 revenue = 12% of 250 = ₹30 crore
  • Item 4 revenue = 6% of 250 = ₹15 crore

Step 4: Revenue per Kilogram Calculation

Since 1 tonne = 1000 kg, the unit conversion cancels out when calculating ratios.

Revenue per kg:

  • Item 1 = 30 ÷ 0.55
  • Item 4 = 15 ÷ 1.10

Required Ratio:

(30 ÷ 0.55) : (15 ÷ 1.10)

Multiply both terms by 1.10:

(30 × 1.10 ÷ 0.55) : 15 = 60 : 15 = 4 : 1

Correct Answer

Option (D): 4 : 1

Explanation of All Options

Option (A): 1 : 2 ❌
This implies Item 4 earns double the revenue per kg of Item 1, which contradicts the given data.

Option (B): 2 : 1 ❌
This option ignores the fact that Item 4 exports twice the quantity but earns half the revenue.

Option (C): 1 : 4 ❌
This is the reverse of the correct ratio and is mathematically incorrect.

Option (D): 4 : 1 ✅
Item 1 generates four times more revenue per kilogram than Item 4, making this the correct choice.

Final Conclusion

By converting percentages into actual quantities and revenues and then comparing revenue per unit,
we find that Item 1 is significantly more profitable per kilogram than Item 4.

Final Answer: 4 : 1

 

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