A household appliances store owner allows two successive discounts of 10% and 20% on each item. As an incentive, if the net payment after the discounts is above Rs.20,000, the customer gets an additional discount of 10% on the discounted price. How much does a customer pay (in Rs. ) if his bill is for Rs.30,000?

Correct option is B

Given:

Bill generated for customer =₹30,000

Two successive discounts = 10% and 20%

Additional discount if net price is above ₹20,000 = 10%

Formula Used:

​$$Successive\ Discount(D) = D_{1}+D_{2} - \frac{D_{1}D_{2}}{100}$$​​

​$$SP = MP \times \frac{(100-D)}{100}$$​​

Solution:

​$$Successive\ Discount = 10+20 - \frac{(10)(20)}{100}$$​​

​$$= 30 - 2=28\%$$​​

​$$SP = 30,000\times \frac{(100-28)}{100}$$​​

​$$= ₹21,600$$​​

Price is above ₹20,000, so additional 10% is applied:

​$$Net\ Price = 21,600 \times \frac{(100-10)}{100}$$​​

​$$= \bf ₹19,440$$​​