The price of an article was decreased by 25%. If the reduced price is Rs 8460, then what was its original price?

Answer

To find the original price of the article before the 25% decrease, we can follow these steps:

### Step 1: Understand the relationship between the original price and the reduced price.
When the price is decreased by 25%, it means that the reduced price is 75% of the original price. This can be expressed mathematically as:
\[ \text{Reduced Price} = \text{Original Price} \times \left(1 - \frac{25}{100}\right) \]
\[ \text{Reduced Price} = \text{Original Price} \times 0.75 \]

### Step 2: Set up the equation with the given reduced price.
Let the original price be \( x \). According to the problem, the reduced price is Rs 8460. Therefore, we can write:
\[ 0.75x = 8460 \]

### Step 3: Solve for the original price \( x \).
To find \( x \), we need to isolate it on one side of the equation. We can do this by dividing both sides of the equation by 0.75:
\[ x = \frac{8460}{0.75} \]

### Step 4: Calculate the value of \( x \).
Now, we perform the division:
\[ x = \frac{8460}{0.75} = 8460 \times \frac{100}{75} = 8460 \times \frac{4}{3} \]
\[ x = 8460 \times 1.3333 \]
\[ x = 11280 \]

### Step 5: Conclusion.
Thus, the original price of the article was Rs 11,280.