The key concept here is distinguishing between commission earned and total monetary value of sales — a classic DS trap built around confusing two different "total" figures.
Let x = number of successful sales in the month. Commission per sale = $50. Question: find x.
Step 1 — Evaluate Statement 1: "10 more sales would increase total commission by 5%"
Current commission = 50x. With 10 more sales: 50(x + 10) = 50x × 1.05
→ 50x + 500 = 52.5x
→ 500 = 2.5x
→ x = 200
One unique value. Sufficient.
Step 2 — Evaluate Statement 2: "Total monetary value of sales = $200,000"
Total monetary value means (price per item) × (number of items sold) = $200,000. But price per item is not given and is not the same as the $50 commission. The commission is what the telemarketer earns per sale; the monetary value is what the customer pays per item. Those can be completely different.
For example: 100 sales of $2,000 items → total = $200,000, x = 100
Or: 400 sales of $500 items → total = $200,000, x = 400
No unique value for x. Insufficient.
Answer: A
Common trap: Nearly every student who misses this picks D or C. The temptation with Statement 2 is to set 50x = 200,000 and get x = 4,000 — but that's only valid if the $200,000 is the commission earned, not the sales revenue. The question says commission is $50 per sale; it never says each item sells for $50.
Takeaway: In DS word problems involving money, always ask which "total" the statement is actually giving you — revenue, cost, commission, or profit? Each is a different quantity.
— Kavya | 725 (GMAT Focus) | Founder @ edskore.com