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Calculate Profitability with Different Pricing Schemes

Last updated: Mar 29, 2026

Quick Overview

This question evaluates proficiency in unit economics, break-even analysis, and pricing-scheme comparison for subscription products, testing business analytics and financial modeling skills relevant to the Analytics & Experimentation domain for a Data Scientist role.

  • easy
  • Capital One
  • Analytics & Experimentation
  • Data Scientist

Calculate Profitability with Different Pricing Schemes

Company: Capital One

Role: Data Scientist

Category: Analytics & Experimentation

Difficulty: easy

Interview Round: Onsite

##### Scenario The startup tests different pricing schemes and needs unit-economics calculations to gauge profitability. ##### Question Given 20 subscribers, $400 fixed cost, $5 variable cost per user, $1 per-GB price, and 15 GB average usage, compute monthly profit. 4) If subscribers double, does the firm break even? 6) With a free tier (cost $ 1) and a paid tier (fee $54, cost $ 5), what paid-user percentage is required for break-even? ##### Hints Set up revenue and cost equations, subtract costs from revenue, and solve for zero-profit thresholds.

Quick Answer: This question evaluates proficiency in unit economics, break-even analysis, and pricing-scheme comparison for subscription products, testing business analytics and financial modeling skills relevant to the Analytics & Experimentation domain for a Data Scientist role.

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Capital One logo
Capital One
Jul 12, 2025, 6:59 PM
Data Scientist
Onsite
Analytics & Experimentation
61
0

Unit Economics and Break-even Analysis

Context

You are evaluating a subscription product’s unit economics. Assume all costs and revenues are monthly. Unless otherwise noted, fixed cost = 400/monthandvariable(service)costperuser=400/month and variable (service) cost per user = 400/monthandvariable(service)costperuser=5/month. In the base plan, users pay per-GB. In the alternative plan, users fall into either a free tier or a paid tier.

Questions

  1. Base per-GB plan
  • Given: 20 subscribers, 1per−GBprice,15GBaverageusage/user,fixedcost1 per-GB price, 15 GB average usage/user, fixed cost 1per−GBprice,15GBaverageusage/user,fixedcost 400, variable cost $5 per user.
  • Task: Compute monthly profit.
  1. Scale scenario
  • If subscribers double to 40 (same usage and costs), does the firm break even?
  1. Alternative two-tier plan
  • Free tier: costs $1 per free user to serve (no revenue).
  • Paid tier: fee 54perpaiduser;cost54 per paid user; cost 54perpaiduser;cost 5 per paid user.
  • Task: What paid-user percentage is required to break even? Provide the formula in terms of total users N. Also evaluate for N = 20 (same as part 1) for a concrete number.

Hint: Set up revenue and cost equations, then profit = revenue − total cost. For break-even, set profit = 0 and solve for the unknown.

Solution

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