If the total numbers of items sold by A and B over all five days are 4000 and…
2024
If the total numbers of items sold by A and B over all five days are 4000 and 4400, respectively, then the number of items sold by B on Tuesday is ______% more than the number of items sold by A on Friday.
Answer: A. 37.5 — ConceptWhen a total over several periods is known and one period is missing, subtract the sum of the known periods from the total. For a quantity X that is p…
- A.
37.5
- B.
23.5
- C.
32.25
- D.
42.5
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Show answer & explanation
Correct answer: A
Concept
When a total over several periods is known and one period is missing, subtract the sum of the known periods from the total.
For a quantity X that is p percent more than a base Y, use p = ((X − Y) / Y) × 100.
Application
For A, the known Monday-to-Thursday total is 840 + 720 + 560 + 1080 = 3200.
Therefore, A sold 4000 − 3200 = 800 items on Friday.
For B, the known Monday, Wednesday, Thursday, and Friday total is 880 + 480 + 1020 + 920 = 3300.
Therefore, B sold 4400 − 3300 = 1100 items on Tuesday.
The percentage more is ((1100 − 800) / 800) × 100 = (300 / 800) × 100 = 37.5%.
Cross-check
An increase of 37.5% on 800 is 0.375 × 800 = 300, and 800 + 300 = 1100, matching B’s Tuesday value.
Thus, the required percentage is 37.5%.