A store announces a discount of $27\%$ and then allows another discount of $18\%$. What is the final sale price (in ₹, to the nearest integer) of a bed whose marked price is ₹$37,000$?

Given:Marked Price ($\text{MP}$) = ₹$37,000$ First discount ($d_1$) = $27\%$ Second discount ($d_2$) = $18\%$ The final sale price ($\text{SP}$) can be calculated by applying successive discounts:
$$\text{SP}=\text{MP}\times \left(1-\frac{d_1}{100}\right)\times \left(1-\frac{d_2}{100}\right)$$
$$\text{SP}=37000\times \left(1-\frac{27}{100}\right)\times \left(1-\frac{18}{100}\right)$$
$$\text{SP}=37000\times \frac{73}{100}\times \frac{82}{100}$$
$$\text{SP}=\frac{370\times 73\times 82}{100}$$
$$\text{SP}=\frac{37\times 73\times 82}{10}$$
Now let's compute the product:
$$37\times 73=2701$$
$$2701\times 82=221482$$
Now, divide by $10$:
$$\text{SP}=\frac{221482}{10}=22148.2$$
Rounding to the nearest integer gives ₹$22,148$.