The price of rice falls by 20%. How much rice can be bought now with the money that was sufficient to buy 20 kg of rice previously?

Options

A. (a) 5 kg
B. (b) 15 kg
C. (c) 25 kg
D. (d) 30 kg

Answer

To solve the problem step by step, let's break it down:

### Step 1: Understand the initial situation
Let the original price of rice per kg be \( P \). Since we are told that 20 kg of rice was bought previously, the total cost for 20 kg of rice is:
\[ \text{Total Cost} = 20 \times P \]

### Step 2: Calculate the new price after the fall
The price of rice falls by 20%. Therefore, the new price per kg of rice after the fall is:
\[ \text{New Price} = P - 0.20P = 0.80P \]

### Step 3: Determine how much rice can be bought with the same amount of money
Now, we need to find out how much rice can be bought with the same total cost (which was sufficient to buy 20 kg of rice at the original price). The total cost remains:
\[ \text{Total Cost} = 20 \times P \]
Now, using the new price, the amount of rice that can be bought is:
\[ \text{Amount of Rice} = \frac{\text{Total Cost}}{\text{New Price}} = \frac{20P}{0.80P} \]

### Step 4: Simplify the expression
We can simplify the expression:
\[ \text{Amount of Rice} = \frac{20P}{0.80P} = \frac{20}{0.80} = 25 \text{ kg} \]

### Conclusion
Thus, with the money that was sufficient to buy 20 kg of rice previously, now you can buy **25 kg of rice**.

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