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
Ratio of Revenue per Kilogram from Exported Items
Pie chart based questions are very common in competitive examinations. In this question,
two pie charts are given: one represents the percentage distribution of export quantities,
and the other represents the percentage distribution of revenues generated from exports.
Using this information, we calculate the ratio of revenue per kilogram for Item 1 and Item 4.
Given Data
- Total quantity of exports = 5 lakh tonnes
- 1 tonne = 1000 kg
- Total quantity in kg = 5 × 108 kg
- Total revenue = ₹250 crore
Calculation for Item 1
Export Quantity
Item 1 contributes 11% of total exports.
Export quantity of Item 1 = 11% of 5 lakh tonnes
= 0.55 lakh tonnes = 5.5 × 107 kg
Revenue
Item 1 generates 12% of total revenue.
Revenue from Item 1 = 12% of ₹250 crore = ₹30 crore
Revenue per kg
Revenue per kg for Item 1 =
30 ÷ (5.5 × 107)
Calculation for Item 4
Export Quantity
Item 4 contributes 22% of total exports.
Export quantity of Item 4 = 22% of 5 lakh tonnes
= 1.1 lakh tonnes = 1.1 × 108 kg
Revenue
Item 4 generates 6% of total revenue.
Revenue from Item 4 = 6% of ₹250 crore = ₹15 crore
Revenue per kg
Revenue per kg for Item 4 =
15 ÷ (1.1 × 108)
Required Ratio
Ratio of revenue per kg (Item 1 : Item 4)
= (30 ÷ 5.5 × 107) : (15 ÷ 1.1 × 108)
After simplification:
Ratio = 4 : 1
Final Answer
Correct Option: (D) 4 : 1
Conclusion
By converting percentages into actual quantities and revenues, and then calculating
revenue per kilogram, we find that Item 1 generates four times the revenue per kg
compared to Item 4.
