If a girl mistakenly multiply a number by 3 instead of dividing it by 3 the results was what percentage of the original number?

A ) 300%

B ) 600%

C ) 900% ✅

D ) 500%


Explanation:


If a girl mistakenly multiply a number by 3 instead of dividing it by 3 the results was what percentage of the original number? 

Solution 

Assume the original number = 3 (choose a number divisible by 3).

Correct operation:

3 ÷ 3 = 1

Mistaken operation:

3 × 3 = 9

Now compare the mistaken result with the original number:

(9 ÷ 3) × 100 = 300%

Answer: 300%

Don't Get Confused 
  • If asked "Percentage of the original number":
  • (3N ÷ N) × 100 = 300% ✅
  • If asked "Percentage of the correct result":
  • Correct result = N ÷ 3
  • Mistaken result = 3N
  • (3N ÷ (N ÷ 3)) × 100
  • = 9 × 100
  • = 900% ✅

Remember:
  • Compared with the original number → 300%
  • Compared with the correct result → 900%