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If 15% of a number is 90, find the number.

  • A.500
  • B.550
  • C.600
  • D.650

Answer: C

The number is 600.

If 15% of the number is 90, then:

\[ \begin{aligned} \frac{15}{100} \times x &= 90 \\ x &= \frac{90 \times 100}{15} = 600 \end{aligned} \]

Check: 10% of 600 is 60 and 5% is 30, which make 90. 500 gives 75, 550 gives 82.5 and 650 gives 97.5, so none of them has 90 as its 15%.

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