The following table shows the percentage distribution of five different Models…
2023
The following table shows the percentage distribution of five different Models (A-E) of Mobile Phones produced by a company during the years 2021 and 2022. Total numbers of Mobile Phones produced by the company in 2021 and 2022 are 4,50,000 and 5,20,000, respectively. Based on the data in the table, answer the question that follows:
Year-wise Percentage (%) Distribution of Models of Mobile Phones
Model/Year | A | B | C | D | E |
|---|---|---|---|---|---|
2021 | 15% | 25% | 30% | 10% | 20% |
2022 | 10% | 30% | 25% | 25% | 10% |
The number of Model-B mobile phones in 2022 is approximately ____% more than Model-D mobile phones in 2021.
Answer: D. 247 — CONCEPTA percentage comparison uses the earlier or reference quantity as the base. If a quantity X is compared with a base Y, the percentage by which X…
- A.
240
- B.
92
- C.
128
- D.
247
Show answer & explanation
Correct answer: D
CONCEPT
A percentage comparison uses the earlier or reference quantity as the base. If a quantity X is compared with a base Y, the percentage by which X exceeds Y is ((X − Y) / Y) × 100.
When table entries are percentages of different yearly totals, first convert each required percentage into an actual count; only then compare the counts.
APPLICATION
Model B in 2022: 30% of 5,20,000 = 0.30 × 5,20,000 = 1,56,000 phones.
Model D in 2021: 10% of 4,50,000 = 0.10 × 4,50,000 = 45,000 phones.
Excess of the 2022 Model-B count over the 2021 Model-D count = 1,56,000 − 45,000 = 1,11,000 phones.
Percentage more = (1,11,000 / 45,000) × 100 = 246.666…%, which is approximately 247%.
CROSS-CHECK
A 247% increase on 45,000 gives 45,000 + 2.47 × 45,000 = 1,56,150, which is very close to 1,56,000; the small difference is due to rounding.
RESULT
Therefore, the required approximate percentage is 247%.