What is the average number of visitors to Manali on all the days except Monday?
2024
What is the average number of visitors to Manali on all the days except Monday?
Answer: D. 450 — Concept In a cumulative table, the figure for a single day is the difference between that day’s cumulative entry and the previous day’s cumulative entry. A…
- A.
560
- B.
520
- C.
490
- D.
450
Show answer & explanation
Correct answer: D
Concept
In a cumulative table, the figure for a single day is the difference between that day’s cumulative entry and the previous day’s cumulative entry. A cumulative percentage is turned into a count by multiplying it by the grand total. When the combined figure for two places and one place’s own figure are both known for the same day, the other place’s figure is their difference. An average over a chosen set of days is the sum of that set’s daily figures divided by the number of days in the set.
Application
Convert each cumulative percentage into a count using the grand total of 4000 visitors: 15% → 600, 40% → 1600, 70% → 2800, 80% → 3200, 100% → 4000.
Take successive differences of those counts to get the combined Kullu + Manali visitors on each day: Monday 600, Tuesday 1000, Wednesday 1200, Thursday 400, Friday 800.
Take successive differences of the cumulative Kullu column to get Kullu’s daily visitors: Monday 360, Tuesday 1060 − 360 = 700, Wednesday 1540 − 1060 = 480, Thursday 1700 − 1540 = 160, Friday 1960 − 1700 = 260.
Subtract the Kullu figure from the combined figure day by day to isolate Manali: Monday 600 − 360 = 240, Tuesday 1000 − 700 = 300, Wednesday 1200 − 480 = 720, Thursday 400 − 160 = 240, Friday 800 − 260 = 540.
Add Manali’s figures for the four days from Tuesday to Friday: 300 + 720 + 240 + 540 = 1800.
Divide that sum by the 4 days it covers: 1800 ÷ 4 = 450.
Day | Kullu + Manali | Kullu | Manali |
|---|---|---|---|
Monday | 600 | 360 | 240 |
Tuesday | 1000 | 700 | 300 |
Wednesday | 1200 | 480 | 720 |
Thursday | 400 | 160 | 240 |
Friday | 800 | 260 | 540 |
Cross-check
Manali’s five-day total can be read straight off the table as 4000 − 1960 = 2040. Removing Monday’s 240 leaves 1800, and 1800 ÷ 4 = 450, which matches the step-by-step working. The four-day average is therefore 450.