The average number of visitors to Kullu on Monday and Thursday is ______ %…
2024
The average number of visitors to Kullu on Monday and Thursday is ______ % less than the number of visitors to Manali on Wednesday.
Answer: B. 63.89 — ConceptA cumulative row records a running total, so a single day’s value is the difference between that day’s cumulative figure and the previous day’s:…
- A.
53.29
- B.
63.89
- C.
67.44
- D.
50.28
Show answer & explanation
Correct answer: B
Concept
A cumulative row records a running total, so a single day’s value is the difference between that day’s cumulative figure and the previous day’s: value(day) = cumulative(day) − cumulative(previous day).
A cumulative percentage becomes a count by taking that percentage of the grand total, and the statement “A is x% less than B” is always measured against B — the quantity that follows “than”: x = (B − A) ÷ B × 100.
Application
The five-day grand total for the two towns is 4000, so each cumulative percentage converts to a cumulative count: 15% → 600, 40% → 1600, 70% → 2800, 80% → 3200, 100% → 4000.
Differencing consecutive cumulative counts gives the combined Kullu + Manali count per day: Monday 600, Tuesday 1600 − 600 = 1000, Wednesday 2800 − 1600 = 1200, Thursday 3200 − 2800 = 400, Friday 4000 − 3200 = 800.
Differencing the cumulative Kullu column the same way gives Kullu’s own daily count: Monday 360, Tuesday 1060 − 360 = 700, Wednesday 1540 − 1060 = 480, Thursday 1700 − 1540 = 160, Friday 1960 − 1700 = 260.
Manali per day is the combined figure minus Kullu: Monday 600 − 360 = 240, Tuesday 1000 − 700 = 300, Wednesday 1200 − 480 = 720, Thursday 400 − 160 = 240, Friday 800 − 260 = 540.
The stem asks for Kullu on Monday and Thursday, so the average is (360 + 160) ÷ 2 = 520 ÷ 2 = 260.
The phrase “less than the number of visitors to Manali on Wednesday” fixes the base at Manali’s Wednesday count, 720.
Percentage less = (720 − 260) ÷ 720 × 100 = 460 ÷ 720 × 100 = 63.888…, which rounds to 63.89.
The full day-wise split behind those two figures:
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
Reverse the comparison: 260 ÷ 720 = 0.3611, so the average is 36.11% of the Wednesday Manali count, and 100 − 36.11 = 63.89 — the same shortfall.
Sanity-check the split itself: the daily Kullu counts add to 360 + 700 + 480 + 160 + 260 = 1960, matching the final cumulative Kullu entry, and the daily combined counts add to 600 + 1000 + 1200 + 400 + 800 = 4000, matching the stated grand total.
Watch the base: dividing the 460 gap by 260 instead of 720 answers a different question (how much larger Manali’s Wednesday figure is than the average, about 176.9%) and is the usual slip in “x% less than” comparisons.