Apple Percentage Calculation
This problem asks us to find the initial number of apples a fruit seller had, given the percentage he sold and the number remaining.
Understanding the Information
- Percentage of apples sold: 40%
- Number of apples remaining: 240
- Goal: Find the original total number of apples.
Finding the Original Apple Quantity
We can solve this step-by-step:
Step 1: Calculate the percentage of apples remaining.
If the seller sold 40% of his apples, the percentage he still has left is the total percentage (100%) minus the percentage sold.
Remaining Percentage = \(100\% - 40\% = 60\%\)
This means the 240 apples he has left represent 60% of his original stock.
Step 2: Set up an equation.
Let '\(T\)' represent the total number of apples the fruit seller originally had.
We know that 60% of the total apples (\(T\)) is equal to 240.
We can write this as an equation:
\(60\% \times T = 240\)
To make calculations easier, let's convert the percentage to a decimal:
\(60\% = \frac{60}{100} = 0.60\)
So the equation becomes:
\(0.60 \times T = 240\)
Step 3: Solve for the total number of apples (T).
To find '\(T\)', we need to isolate it by dividing both sides of the equation by 0.60:
\(T = \frac{240}{0.60}\)
To perform the division, we can multiply the numerator and denominator by 100 to remove the decimal:
\(T = \frac{240 \times 100}{0.60 \times 100} = \frac{24000}{60}\)
Now, simplify the fraction:
\(T = \frac{2400}{6}\)
\(T = 400\)
Conclusion
Therefore, the fruit seller originally had 400 apples.
Similar Questions
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Important Questions from Percentage
In an examination, 25% of the candidates failed in Mathematics and 12% failed in English. If 10% of the candidates failed in both the subjects and 292 candidates passed in both the subjects, which one of the following is the number of total candidates appeared in the examination?
What is the value of 9% of 5500 + 2.4% of 1100 - 40% of 1600?
Population of a village is 7960 in which 4660 are female. If in that village 60% are literate in which 70% female are literate, then what is the number of literate male ?
In an examination, Ram obtained 20 % more than Ashok but 10% less than Rajesh. If the marks obtained by Ashok is 1080. Then the Percentage marks obtained by Rajesh if the full marks is 2000 ;
A student appeared in 6 papers. The maximum marks are the same for each paper. His marks in these papers are in the proportion of 5 : 6 : 7 : 8 : 9 : 10. Overall he scored 60%. In how many number of papers did he score less than 60% of the maximum marks?
