A fruit seller had some apples. 10% of them were spoiled in transport and he sold 90% of remaining and he was left with 81 apples. How many apples he had originally?

Let's denote the total number of apples the fruit seller originally had as \( x \).

1. **Spoiled apples:** 10% of the apples were spoiled during transport, so the number of spoiled apples is \( 0.1x \).

2. **Remaining apples:** After removing the spoiled apples, the remaining number of apples is \( x - 0.1x = 0.9x \).

3. **Sold apples:** The seller then sold 90% of the remaining apples, so the number of apples sold is \( 0.9 \times 0.9x = 0.81x \).

4. **Leftover apples:** After selling, the seller was left with 81 apples. According to the problem, \( 0.9x - 0.81x = 81 \).

Now let's solve this equation:

\[
0.09x = 81
\]

\[
x = \frac{81}{0.09} = 900
\]

So, the fruit seller originally had **900 apples**.

Would you like more details or have any questions? Here are 5 related questions you might find interesting:

1. What if 20% of the apples were spoiled during transport?
2. How many apples would the seller have left if he sold 80% of the remaining instead?
3. What if the seller was left with 100 apples after selling 90% of the remaining?
4. How would the problem change if 15% of the apples were spoiled and he sold 85% of the remaining?
5. What would happen if the seller had sold 95% of the remaining apples instead?

**Tip:** In percentage-based problems, carefully set up equations based on the relationships between different percentages to avoid confusion.

Learn how to solve a word problem involving percentages and equations to determine the original number of apples a fruit seller had. Follow a step-by-step solution involving calculations of spoiled apples, remaining apples, sold apples, and leftover apples. Suitable for Grades 6-8.

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