അരിയുടെ വില 10% കുറഞ്ഞപ്പോൾ 800 രൂപയ്ക്ക് അരി വാങ്ങിയ ഒരാൾക്ക് 2 കി.ഗ്രാം അരി കൂടുതൽ കിട്ടിയെങ്കിൽ അരിയുടെ ഇപ്പോഴത്തെ വിലയെത്ര ?

Let the original price of the rice be \( P \) rupees per kilogram.

When the price of rice is reduced by 10%, the new price is:
\[ P_{\text{new}} = P - 0.1P = 0.9P \]

Given that with the reduced price, a person bought rice for 800 rupees and got 2 kg more than before. 

Let \( x \) be the original amount of rice the person could buy for 800 rupees.

With the original price:
\[ x = \frac{800}{P} \]

With the new price:
\[ x + 2 = \frac{800}{0.9P} \]

We now have two equations:
1. \( x = \frac{800}{P} \)
2. \( x + 2 = \frac{800}{0.9P} \)

Substituting \( x \) from the first equation into the second equation:
\[ \frac{800}{P} + 2 = \frac{800}{0.9P} \]

To solve for \( P \):
\[ \frac{800}{P} + 2 = \frac{800}{0.9P} \]
\[ \frac{800}{P} + 2 = \frac{800 \times 10}{9P} \]
\[ \frac{800}{P} + 2 = \frac{8000}{9P} \]

Multiplying through by \( 9P \) to clear the denominators:
\[ 9 \times 800 + 18P = 8000 \]
\[ 7200 + 18P = 8000 \]

Subtracting 7200 from both sides:
\[ 18P = 800 \]
\[ P = \frac{800}{18} \]
\[ P = \frac{400}{9} \]

So, the original price of rice per kilogram is:
\[ P = \frac{400}{9} \approx 44.44 \text{ rupees} \]

The current price of rice per kilogram, reduced by 10%, is:
\[ 0.9P = 0.9 \times \frac{400}{9} = \frac{360}{9} = 40 \text{ rupees} \]

Therefore, the current price of rice is 40 rupees per kilogram.

Would you like more details or have any questions?

Here are some related questions:

1. What is the percentage increase in the amount of rice bought due to the price reduction?
2. How much rice can be bought now for 1000 rupees?
3. If the price of rice increases by 10% from the current price, what will the new price be?
4. How much did 1 kg of rice cost before the price reduction?
5. If another product’s price decreases by 15%, how would you set up a similar problem to find the new price?
6. What would be the price of 5 kg of rice at the original price?
7. How much more rice can be bought now with 1600 rupees compared to before the price reduction?
8. If the price reduction was only 5% instead of 10%, what would the new price be?

**Tip:** When solving percentage problems, always convert the percentage to a decimal before performing calculations. For example, 10% becomes 0.1.

Learn how to calculate the current price of rice per kilogram after a 10% reduction in price. Solve the problem where a person bought more rice for 800 rupees than before due to the price reduction. Original and new price calculations included.

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