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Basic Mathematics QUESTION #7656
Question 1
If \(\frac{2}{3}\) of A = 75% of B = 0.6 of C, then A:B:C is:
  • \(2 : 3 : 3\)
  • \(3 : 4 : 5\)
  • \(4 : 5 : 6\)
  • None of these✔️
Correct Answer Explanation
Let \(\frac{2}{3}A = \frac{75}{100}B = 0.6C = k\). Then \(A = \frac{3k}{2}\), \(B = \frac{100k}{75} = \frac{4k}{3}\), \(C = \frac{k}{0.6} = \frac{5k}{3}\). Finding LCM and simplifying: multiply by 6 to get \(A = 9k\), \(B = 8k\), \(C = 10k\). But this doesn't match options. Recalculating: ratio is \(9:8:10\), which is 'None of these'.