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A trader bought 100 oranges at 5 for N40.00 and 20 for N120.00. Find the profit ...


Question

A trader bought 100 oranges at 5 for N40.00 and 20 for N120.00. Find the profit or loss percent

Options

A)
20% profit
B)
20% loss
C)
25% profit
D)
25% loss

The correct answer is D.

Explanation:

Cost price CP of the 100 oranges = \(\frac{100}{5}\) x N40.00

selling price SP of the 100 oranges = \(\frac{100}{20}\) x N120

= N600.00

so, profit or loss per cent

= \(\frac{SP - CP}{CP}\) x 100%

= \(\frac{600 - 800}{800}\) x 100%

= \(\frac{-200}{800}\) x 100%

Hence, loss per cent = 25%


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Dicussion (1)

  • Cost price CP of the 100 oranges = \(\frac{100}{5}\) x N40.00

    selling price SP of the 100 oranges = \(\frac{100}{20}\) x N120

    = N600.00

    so, profit or loss per cent

    = \(\frac{SP - CP}{CP}\) x 100%

    = \(\frac{600 - 800}{800}\) x 100%

    = \(\frac{-200}{800}\) x 100%

    Hence, loss per cent = 25%

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