Compare average profit across mix scenarios

Quick Overview

This question evaluates understanding of expected value, weighted averages, and profit-margin analysis within the Statistics & Math domain for a Data Scientist role. It is commonly asked to probe quantitative reasoning about pricing and cost trade-offs, and it tests practical application of arithmetic and scenario-based profit modeling rather than abstract theoretical concepts.

Compare average profit across mix scenarios

Company: Capital One

Role: Data Scientist

Category: Statistics & Math

Difficulty: easy

Interview Round: Technical Screen

You sell only Regular burgers in Scenario A. In Scenario B you sell both Regular and Vegan with a sold ratio Vegan:Regular = 2:3 and total units sold unchanged. Regular: price $4, unit cost $1. Vegan: price $4, unit cost $2. Compute: (1) the average profit per burger in A and in B, (2) the difference (B − A) in $/burger, and (3) the total profit change for 1,000,000 total burgers.

Quick Answer: This question evaluates understanding of expected value, weighted averages, and profit-margin analysis within the Statistics & Math domain for a Data Scientist role. It is commonly asked to probe quantitative reasoning about pricing and cost trade-offs, and it tests practical application of arithmetic and scenario-based profit modeling rather than abstract theoretical concepts.

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Oct 13, 2025, 9:49 PM
easyData ScientistTechnical ScreenStatistics & Math
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Burger Profit Mix — Scenario A vs. Scenario B

Context: You sell two burger types (Regular and Vegan). In Scenario A, you sell only Regular. In Scenario B, you sell both with a mix ratio Vegan:Regular = 2:3. Total units sold are the same in both scenarios.

Given:

  • Regular: price = 4,unitcost=4, unit cost = 1
  • Vegan: price = 4,unitcost=4, unit cost = 2
  • Total units sold unchanged between scenarios

Compute:

  1. The average profit per burger in Scenario A and in Scenario B.
  2. The difference (B − A) in $ per burger.
  3. The total profit change for 1,000,000 total burgers (B minus A).
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