A shopkeeper bought 240 ton rice. He sold (\frac{4}{5})th is at 37.5% profit, then find at what percentage profit or loss he should sell remaining rice, so as to gain 25% on the whole transaction?
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25% profit
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25% loss
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20% profit
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20% loss
B
Correct answer
Explanation
Total rice = 240 tons. First, 4/5 × 240 = 192 tons sold at 37.5% profit. Remaining = 48 tons. Let the required profit/loss percentage be x%. Overall target is 25% profit on total. Total CP = 240C (where C is cost per ton). SP of first part = 192C × 1.375. Total SP needed = 240C × 1.25. Let SP of remaining be 48C(1 + x/100). 192C × 1.375 + 48C(1 + x/100) = 240C × 1.25. This gives x = -25, meaning 25% loss.