Question

The total number of Engg. Students in 1991–92, assuming a 10% reduction over the previous year, is:

• A. 5700
• B. 57000
• C. 44800
• D. none of these

Hint:

Be cautious: a percentage reduction means subtracting from the original, not multiplying by the percentage itself.

Answer 1

The Correct Option is C

First find total students in 1990–91 from chart:
Private Engg. College = $250$ hundreds = $25000$ students
Govt. Engg. College = $140$ hundreds = $14000$ students
Regional Engg. College = $100$ hundreds = $10000$ students
IITs = $80$ hundreds = $8000$ students
Total in 1990–91 = $25000 + 14000 + 10000 + 8000 = 57000$ students
A 10% reduction in 1991–92 means:
Reduction = $0.10 \times 57000 = 5700$ students
New total = $57000 - 5700 = 51300$ students
Since 51300 is not among the given options, correct choice = (D) none of these.
Checking incorrect options:
(A) 5700 — this is the amount reduced, not the new total.
(B) 57000 — this is the original before reduction.
(C) 44800 — does not match the computed 51300.
\(\boxed{\text{Correct Answer: (D) none of these}}\)