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A number increased by 37.5% gives 99. The number is:

  • A.68
  • B.72
  • C.75
  • D.80

Answer: B

Let the number be x. An increase of 37.5% means the new number is 137.5% of the original.

Note that 37.5% = 3/8.

So, the new number is \(x + \frac{3}{8}x = \frac{11}{8}x\).

\(\frac{11}{8}x = 99\)

\(x = 99 \times \frac{8}{11} = 9 \times 8 = 72\).

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