Capital One·Data Scientist·Technical Phone Screen·Intermediate

Intermediate

Apr 2026

Summary

Capital One data scientist interview with a straightforward profitability math question for a loyalty program. Nothing too wild conceptually, but the arithmetic has enough moving parts that you can trip yourself up if you're not careful with units.

Questions Asked (1)

A loyalty program has 2 million customers. Annual fee is $50 per customer, plus a 1% commission on monthly spending of $500 per customer. Fixed annual costs are $250 million, variable costs are $5 per customer per year. Calculate total annual revenue, total annual cost, total annual profit, and profit per customer.

Product Analytics & MetricsPricing & Monetization

Author's notes

The commission piece is where I slowed down.

Create a free account to read the full note

AI HintsAI Generated

Suggested Approach

Break down the problem into revenue streams (annual fees and commission) and cost components (fixed and variable), then compute totals and per-customer metrics. Clearly state assumptions (e.g., all customers pay the fee and spend the same amount) and show calculations step-by-step.

Pro tip: After calculating, briefly comment on the business implications, such as the high fixed cost leverage or the sensitivity of profit to spending levels, to demonstrate product and financial acumen.

1. Calculate Annual Fee Revenue

Multiply the number of customers (2 million) by the annual fee ($50) to get total annual fee revenue.

2. Calculate Commission Revenue

Compute annual spending per customer ($500 * 12 = $6,000), then multiply by 1% to get annual commission per customer ($60), and finally multiply by 2 million customers to get total commission revenue.

3. Sum Total Revenue

Add annual fee revenue and commission revenue to get total annual revenue.

4. Calculate Total Costs

Add fixed annual costs ($250 million) to total variable costs (2 million customers * $5 per customer = $10 million) to get total annual cost.

5. Compute Profit and Profit per Customer

Subtract total cost from total revenue to get total annual profit, then divide by 2 million to get profit per customer.

Key Points to Mention

Assumption that all 2 million customers are active and pay the annual fee and spend $500 monthly.
Revenue breakdown: annual fee revenue = $100M, commission revenue = $120M, total revenue = $220M.
Cost breakdown: fixed costs = $250M, variable costs = $10M, total costs = $260M.
Profit calculation: total profit = -$40M (loss), profit per customer = -$20.
Business implication: the program is currently unprofitable; consider increasing fees, reducing fixed costs, or boosting spending.
Sensitivity analysis: how profit changes if spending or customer count varies.

AI-generated suggestions, not part of the candidate's original notes. May be inaccurate — verify before relying on them.