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
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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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