480 ÷ 16 − 8 × (3/4) + 35% of 200 − 18 = ?

Question

480 ÷ 16 − 8 × (3/4) + 35% of 200 − 18 = ?

1. A. 111
2. B. 121
3. C. 100 (Correct answer)
4. D. 101

Correct Answer

Option C — 100

Detailed Solution & Explanation

The correct answer is 100.

Key Points

• $480 \div \left\{16 - 8 \times \frac{3}{4}\right\} + 35\% \text{ of } 200 - 18$
• Inside the bracket, multiplication precedes subtraction:
  • $8 \times \frac{3}{4} = 6$
  • $\{16 - 6\} = 10$
• Then the division:
  • $480 \div 10 = 48$
• Then the percentage:
  • $35\% \text{ of } 200 = 70$
• Finally, left to right:
  • $48 + 70 - 18 = \mathbf{100}$

Shortcut Trick

• For a percentage of 200, simply double the percentage number: 35% of 200 = 70, 42% of 200 = 84. Likewise a percentage of 50 is half the number, and of 25 is a quarter.

Additional Information

• Addition and subtraction have equal precedence and are performed strictly left to right. Doing $70 - 18 = 52$ first and then adding 48 happens to give the same answer here, but that shortcut fails whenever subtraction comes first in the expression — do not rely on it.
• Distractor check: 101 and 111 arise from mis-simplifying the bracket as $16 - 8 = 8$ or as $\frac{16-8\times3}{4}$. Always resolve multiplication inside the brace before the subtraction.