An item is marked for Rs. 18,000. A shopkeeper gives two successive discounts of 10% and 5%. What is its selling price?

Correct option is D

Given:

Marked Price (MP) = Rs. 18,000

Successive discounts = 10% and 5%

Formula Used:

SP = MP $$\times \left(1 - \frac{a}{100}\right) \times \left(1 - \frac{b}{100}\right)$$​​

Solution:

SP = $$18000 \times \left(1 - \frac{10}{100}\right) \times \left(1 - \frac{5}{100}\right)$$​​

= $$18000 \times 0.90 \times 0.95$$​​

= 18000 × 0.855

= Rs. 15,390

Alternate Solution:

Successive discount formula:

Effective discount = a + b - $$\frac{ab}{100}$$​​

= 10 + 5 - $$\frac{10 \times 5}{100}$$​​

= 15 - 0.5 = 14.5%

Selling Price = 18000 × (1 - 0.145) = 18000 × 0.855 = Rs. 15,390