Question

Find the single discount which is equivalent to three successive discounts of 20%, 10% and 5%.
Hence, find the selling price of an article marked at Rs. 250.

• A. 31.6%; Rs. 171
• B. 31.8%; Rs. 171
• C. 31.6%; Rs. 178
• D. 31.6%; Rs. 71

Answer 1

Answer: (A), (B)

The correct options are
A 31.6%; Rs. 171
B 31.8%; Rs. 171

Given marked price is Rs 250
Selling price after Ist discount =100-20=80 Rs
Selling price after 1st discount=$\frac{80\times 250}{100}=200$Rs
Selling price after 2nd discount=Selling price after 2nd discount=$\frac{90\times 200}{100}=180$Rs
Selling price after third discount=$\frac{95\times 280}{100}=171$Rs
Total discount = 250-171=79 Rs
% of total discuont =Selling price after 2nd discount=$\frac{79\times 100}{250}=31.6$%