A salesman offers 20% additional discount, after offering an initial discount of 25% on the labelled rate of a laptop. If the final sale price of the laptop is ₹18,000, then what was its labelled rate?

Correct option is D

Given:

Initial Discount (D₁): 25%

Additional Discount (D₂): 20%

Final Sale Price (S): ₹18,000

Formula Used:

Successive Discounts:

Final Price = Labelled Price $$\times \left(1 - \frac{D_1}{100}\right) \times \left(1 - \frac{D_2}{100}\right)$$​​

Solution:

From the condition;

18000 = Labelled Price $$\times \left(1 - \frac{25}{100}\right) \times \left(1 - \frac{20}{100}\right)$$​​

18000 = Labelled Price $$\times \left(\frac{75}{100}\right) \times \left( \frac{80}{100}\right)$$​​

Labelled Price = 18000$$\times \frac{100}{75} \times \frac{100}{80}$$​​

Labelled Price = 18000 $$\times \frac{4}{3}\times\frac{5}{4}$$​​

Labelled Price = ₹30, 000