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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

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

### 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%

## 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%