A retailer sold a laptop at ₹27,000 by giving two continuous rebates of 20% and 10%.What is the marked price?

Correct option is B

Given:

The final selling price of the laptop after two continuous rebates = ₹27,000

The first rebate is 20%, and the second rebate is 10%.

We need to find the marked price (original price before rebates).

Formula Used:

Final price = $$\text{Marked price} \times \left( 1 - \frac{p_1}{100} \right) \times \left( 1 - \frac{p_2}{100} \right)$$​​

Where:

$$p_1$$​ is the first percentage rebate

$$p_2$$​ is the second percentage rebate

Solution:

Substitute the known values:

27000 = $$\text{Marked price} \times \left( 1 - \frac{20}{100} \right) \times \left( 1 - \frac{10}{100} \right)$$ ​

Marked price = $$27,000 \times \frac{100}{80}\times \frac{100}{90}$$​​

= ₹37,500