A furniture store listed a dining table set at Rs. 2,25,000. During a clearance sale, it was purchased for Rs. 1,35,000. What percentage reduction was offered from the listed price?

The correct option is 40%.

Step 1: Identify the given values.
Listed Price (Original Price) = Rs. 2,25,000
Sale Price (Purchased Price) = Rs. 1,35,000

Step 2: Calculate the reduction in price.
The price reduction is the difference between the original listed price and the clearance sale price.

$\text{Reduction}=\text{Listed Price}-\text{Sale Price}$

$\text{Reduction}=\mathrm{2,25,000}-\mathrm{1,35,000}=\text{Rs. 90,000}$

Step 3: Calculate the percentage reduction.
The percentage reduction is calculated by taking the ratio of the price reduction to the listed price and multiplying by 100.

$\text{Percentage Reduction}=\left(\frac{\text{Reduction}}{\text{Listed Price}}\right)\times 100$

Substitute the values into the formula:

$\text{Percentage Reduction}=\left(\frac{\mathrm{90,000}}{\mathrm{2,25,000}}\right)\times 100$

Simplify the fraction:

$\frac{\mathrm{90,000}}{\mathrm{2,25,000}}=\frac{90}{225}=\frac{2}{5}$

Now, calculate the percentage:

$\text{Percentage Reduction}=\frac{2}{5}\times 100=40\%$

Therefore, a 40% reduction was offered from the listed price.