A trader bought 100 oranges at 5 for N1.20, 20 oranges got spoilt and the remaining were sold at 4 for N1.50. Find the percentage gain or loss.
The correct answer is B. 25% gain
Let's calculate the cost price and selling price step by step and then determine the percentage gain or loss.
1. Cost Price (CP) of 100 oranges at 5 for N1.20:
CP = Number of oranges * Cost per orange
CP = 100 * (N1.20 / 5)
CP = N24
2. Number of oranges sold after 20 got spoilt:
Remaining oranges = Total oranges - Spoilt oranges
Remaining oranges = 100 - 20
Remaining oranges = 80
3. Selling Price (SP) of the remaining oranges at 4 for N1.50:
SP = Number of oranges * Selling price per orange
SP = 80 * (N1.50 / 4)
SP = N30
Now, let's calculate the percentage gain or loss:
Gain or Loss = Selling Price - Cost Price
Gain or Loss = N30 - N24
Gain or Loss = N6
Percentage Gain or Loss = (Gain or Loss / Cost Price) * 100
Percentage Gain or Loss = (N6 / N24) * 100
Percentage Gain or Loss = 25%
So, the trader incurred a 25% gain.
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