GATE AG 2014 • Q8 MCQ • 2 Marks

Section 8: General Aptitude

Analytical & Spatial Aptitude

Subtopic: Logic Deduction & Pattern Recognition

Question Statement:

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. Exports (% of quantity): Item1=11%, Item2=20%, Item3=19%, Item4=22%, Item5=12%, Item6=16%. Revenues (% of revenue): Item1=12%, Item2=20%, Item3=23%, Item4=6%, Item5=20%, Item6=19%. 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? Fig. Q.8 (GA) — Reconstruction of the two pie charts from the given percentages (redrawn to scale; original diagram).

Options:

  • (A) 1:2
  • (B) 2:1
  • (C) 1:4
  • (D) 4:1

Official Answer Key:

D

Step-by-Step Solution & Explanation

Total quantity = 5 lakh tonnes = 5×10^8 kg. Total revenue = ₹250 crore = ₹2.5×10^9. Item 1: quantity = 0.11×5×10^8 = 5.5×10^7 kg; revenue = 0.12×2.5×10^9 = ₹3.0×10^8. Revenue/kg = 3.0×10^8 / 5.5×10^7 = ₹5.4545/kg. Item 4: quantity = 0.22×5×10^8 = 1.1×10^8 kg; revenue = 0.06×2.5×10^9 = ₹1.5×10^8. Revenue/kg = 1.5×10^8 / 1.1×10^8 = ₹1.3636/kg. Ratio (Item1/kg) : (Item4/kg) = 5.4545 : 1.3636 = 4 : 1. Answer: (D).

Practice This in Real CBT Exam Interface

Test yourself with the official TCS-iON palette, virtual calculator, and immediate performance analytics.

Launch CBT Mock Test