Evaluate: \(1212\% of 560 km + 6623\% of 240 km\)

Question

Evaluate: \(1212\% of 560 km + 6623\% of 240 km\)

1. A. 140 km
2. B. 230 km (Correct answer)
3. C. 320 km
4. D. 450 km

Correct Answer

Option B — 230 km

Detailed Solution & Explanation

The correct answer is 230 km.

Key Points

• Convert the mixed percentages to their fraction equivalents, which is far faster than decimals:
  • 12½% = 1/8, so 1/8 × 560 = 70 km
  • 66⅔% = 2/3, so 2/3 × 240 = 160 km
• Adding: 70 + 160 = 230 km.
• Worth memorising the standard set: 12½% = 1/8, 16⅔% = 1/6, 25% = 1/4, 33⅓% = 1/3, 37½% = 3/8, 62½% = 5/8, 66⅔% = 2/3, 75% = 3/4.
• These fraction forms turn most percentage questions into one-line mental arithmetic.

Additional Information

• The fraction equivalents of common percentages turn most calculations into single divisions: 12½% = 1/8, 16⅔% = 1/6, 20% = 1/5, 25% = 1/4, 33⅓% = 1/3, 37½% = 3/8, 50% = 1/2, 62½% = 5/8, 66⅔% = 2/3, 75% = 3/4, 87½% = 7/8.
• Mixed percentages such as 12½ and 66⅔ are deliberately chosen because their fraction forms are clean — their appearance is a signal to convert.
• Percentage of a quantity keeps the quantity's unit, so the answer here remains in kilometres.

प्रश्न (हिन्दी में)

मूल्यांकन करें: \(560 किमी का 1212\% + 240 किमी का 6623\%\)

1. A. 140 किमी
2. B. 230 किमी
3. C. 320 किमी
4. D. 450 किमी