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A banker spent \(\frac{1}{5}\) of his salary on shirts,  \(\frac{1}{3}\) of the remainder on transport,...

Mathematics
JAMB 2025

A banker spent \(\frac{1}{5}\) of his salary on shirts,  \(\frac{1}{3}\) of the remainder on transport, and kept the rest for contingencies. What fraction was left

  • A. \(\frac{6}{15}\)
  • B. \(\frac{8}{15}\)
  • C. \(\frac{7}{15}\)
  • D. \(\frac{4}{5}\)
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Correct Answer: Option B
Explanation

Let the salary be \( S \).

Amount spent on shirts:
\(\text{Shirts} = \frac{1}{5} S\)

Remainder after shirts:
\(\text{Remainder} = S - \frac{1}{5} S = \frac{4}{5} S\)

Amount spent on transport:
\(\text{Transport} = \frac{1}{3} \left( \frac{4}{5} S \right) = \frac{4}{15} S\)

Remainder after transport:
\(\text{Remainder} = \frac{4}{5} S - \frac{4}{15} S = \frac{12}{15} S - \frac{4}{15} S = \frac{8}{15} S\)

Thus, the fraction left is: \(\frac{8}{15}\)

There is an explanation video available below.


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Explanation Video

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