Key concept: Percent and Interest Problems — Comparing two discount structures for the same quantity.
The common trap here is forgetting that the two deals work differently at 10 cans. Let me set up the comparison carefully.
Let p = the regular price of one can.
Step 1 — Sureway cost for 10 cans ("buy 3 at full price, get the 4th free")
- Round 1: Pay for 3, receive 4 cans. Cost = 3p.
- Round 2: Pay for 3, receive 4 more cans. Cost = 3p.
- That's 8 cans for 6p. You still need 2 more.
- Round 3: Buy 2 cans at full price (can't trigger the deal without buying 3). Cost = 2p.
- Total Sureway cost = 3p + 3p + 2p = 8p.
Step 2 — Teslo cost for 10 cans ("each full-price can allows one additional can at 70% discount")
- Every pair of cans: one at p, one at 0.30p.
- Ahmad buys 5 pairs: 5 cans at p + 5 cans at 0.30p.
- Total Teslo cost = 5p + 1.5p = 6.5p.
Step 3 — Percent difference
(8p − 6.5p) / 8p × 100 = 1.5/8 × 100 = 18.75%
Answer: C
The trap most students fall into is assuming the 3rd partial round at Sureway is negligible, or miscounting how many "free" cans apply to 10. For 10 cans you only get 2 free cans at Sureway (not 3), which matters a lot.
Takeaway: When two discount deals are compared, always work through an explicit count for the exact quantity asked, rather than extrapolating from the basic deal structure.
— Kavya | GMAT Focus 725 (99th percentile)