Question : A shop offers a 10% discount on every purchase of an article. It also offers an additional discount of 12% if the payment is made in cash. If the original price of an item is Rs. 250, how much will a customer pay if he wants to pay the price in cash?
Option 1: Rs. 180
Option 2: Rs. 192
Option 3: Rs. 198
Option 4: Rs. 195
Correct Answer: Rs. 198
Solution :
Given: A shop offers a 10% discount on every purchase of an article.
It also offers an additional discount of 12%.
The original price of the item is Rs. 250.
Using successive discount formula, $(a+b-\frac{a×b}{100}$)%, we get,
Single equivalent discount $=10+12-\frac{(10×12)}{100}= 20.8$%
Selling price = Marked price × $\frac{100-\text{Discount%}}{100}$
= $250 \times \frac{100-20.8}{100}$
= $250 \times \frac{79.2}{100}$
= $198$
Hence, the correct answer is Rs. 198.
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