The total number of cameras and printers sold by shop A is how many more than…
2024
The total number of cameras and printers sold by shop A is how many more than the number of printers sold by shop D?
Answer: A. 480 — Concept: When a table gives a fraction or percentage of a quantity, divide the given value by that fraction to recover the whole quantity. For a part-to-part…
- A.
480
- B.
380
- C.
640
- D.
300
Show answer & explanation
Correct answer: A
Concept: When a table gives a fraction or percentage of a quantity, divide the given value by that fraction to recover the whole quantity.
For a part-to-part ratio, write both quantities as common multiples; when their total is known, subtract the known parts to obtain the missing part.
Application
Shop A cameras: 40% of the number of cameras is 200, so the full number is 200 ÷ 0.40 = 500.
Shop A speakers: cameras to speakers is 5:3. Thus speakers = 500 × 3/5 = 300.
Shop A printers: cameras + printers + speakers = 1160, so printers = 1160 − 500 − 300 = 360.
Shop D printers: half of the number of printers is 190, so the full number is 190 × 2 = 380.
Required excess = (shop A cameras + shop A printers) − shop D printers = (500 + 360) − 380 = 480.
Cross-check: Shop A has 500 + 360 = 860 cameras and printers together, and 860 − 480 = 380, which equals the independently recovered number of printers for shop D.
Therefore, the required number is 480.