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A tax payer is allowed \(\frac{1}{8}\)th of his income tax-free, and pays 20% on the...

Mathematics
JAMB 1988

A tax payer is allowed \(\frac{1}{8}\)th of his income tax-free, and pays 20% on the remainder. If he pays N490.00 tax, what is his income?

  • A. N560.00
  • B. N2,450.00
  • C. N2,800.00
  • D. N3,920.00
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Correct Answer: Option C
Explanation

He pays tax on 1 - \(\frac{1}{8}\) = \(\frac{7}{8}\)th of his income

20% is 490, 100% is \(\frac{100}{20}\) x 490, N2,450.00

= \(\frac{7}{8}\) of his income = N2,450.00


\(\frac{1}{\frac{7}{8}}\) x 2450

= \(\frac{8 \times 2450}{7}\)

= \(\frac{19600}{7}\)

= N2800.00


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