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A fruit seller had some apples. He sells 40% of those apples and still has 240 apples. How many apples did he originally have?
400
588
372
600
400
Since 40% are sold, 60% of the total apples remain. So, 0.60×Total=240, giving Total=0.60240=400.
Percentage of apples sold = 40%, Remaining apples = 240
Total Apples×(100%−Sold %)=Remaining Apples
Since 40% are sold, 60% of the total apples remain. So, 0.60×Total=240, giving Total=0.60240=400.
Many students mistakenly calculate 40% of 240 and add it, or subtract 40 from 240. Remember that the remaining percentage is 100%−40%=60%.
Step 1: Identify the percentage of remaining apples
Since the fruit seller sold 40% of the total apples, the percentage of apples remaining is 100%−40%=60%.
100%−40%=60%
Step 2: Set up the equation
Let x be the total number of apples he originally had. Therefore, 60% of x is equal to 240.
60%×x=240⟹0.60x=240
Step 3: Solve for x
Divide 240 by 0.60 to find the total number of apples originally.
x=0.60240=62400=400
A is correct because the remaining 60% of apples equals 240, which means the total number of apples originally is 240 / 0.60 = 400.
This percentage remainder concept is directly applicable in profit & loss, mixture problems, and salary savings questions.
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