A trader goes to Ghana for y days with y cedis. For the first x days, he spends X cedis per day. The amount he has to spend per day for the rest of his stay is
 

  • A \(\frac{y(y - x)}{y - x}\) cedis
  • B \(\frac{Yy - Xx)}{y - x}\) cedis
  • C \(\frac{Y - Xy)}{y - x}\) cedis
  • D \(\frac{Y - X}{y - x}\) cedis
  • E \(\frac{Y - Xx}{y - x}\) cedis

The correct answer is E. \(\frac{Y - Xx}{y - x}\) cedis

The trader goes to Ghana for \(y\) days with \(y\) cedis. For the first \(x\) days, he spends \(X\) cedis per day. So, the total amount he spends in the first \(x\) days is \(Xx\) cedis.

The remaining amount after \(x\) days is \(y - Xx\) cedis.

The remaining number of days after the first \(x\) days is \(y - x\) days.

Therefore, the amount he has to spend per day for the rest of his stay is \(\frac{y - Xx}{y - x}\) cedis.

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