The given pie chart shows the number of students admitted in to different classes of a school in the academic year 2022-23. class VIII th — 15% class IXth — 24% class Xth — 25% class XIth — 18% class XII th — 18% How many students were more in Class 10 than in Class 12 if 600 students were admitted in to Class 8?

Correct — D. In the pie chart Class 8 is the 15% slice, and it stands for 600 students, so find the whole first.

1 percentage point = 600 / 15 = 40 students
Total admitted = 40 × 100 = 4,000 students

Class 10 is the 25% slice: 25 × 40 = 1,000
Class 12 is the 18% slice: 18 × 40 = 720

Difference = 1,000 − 720 = 280 → option (d).

The same result comes straight from the gap in shares: (25 − 18) × 40 = 7 × 40 = 280.

Why the others are wrong

• (a)
  298 — 298 is not a multiple of 40. One percentage point is worth 40 students here, so every slice and every difference of slices is a multiple of 40 — this fails at sight.
• (b)
  240 — 240 is a gap of 6 percentage points, which is what you get by reading the 24% Class 9 slice in place of the 25% Class 10 slice. The chart gives 25% and 18%, a gap of 7 points.
• (c)
  295 — 295 fails the same multiple-of-40 test, and it sits close enough to 280 to catch a candidate who sizes the sectors by eye instead of using the printed 25% and 18%.

A pie chart gives shares, never counts. One printed count converts the whole chart: 15% is 600 students, so 1% = 40 students and the total is 4,000.

After that every slice is one multiplication. Class 10 at 25% is 1,000 students and Class 12 at 18% is 720.

When a difference is asked, subtract the shares first and convert once: (25 − 18) × 40 = 280. The five labels add to 15 + 24 + 25 + 18 + 18 = 100, a free check that no slice has been misread.

Key facts

• The chart shows class VIII 15%, class IX 24%, class X 25%, class XI 18% and class XII 18%.
• Those five shares total 100%, so the chart accounts for every admission.
• 600 students in the 15% slice fixes one percentage point at 40 students and the total at 4,000.
• Class X exceeds class XII by 7 percentage points, which is 280 students.

Common traps

• Treating the 600 as the total number admitted rather than as the Class 8 slice alone
• Subtracting the shares and answering 7 without converting to students
• Confusing class IXth at 24% with class Xth at 25%, which yields 240

No directly related past PYQ was found.