Question : A defective dining set costing Rs. 10000 is being sold at a 10% loss. If the price is further reduced successively by 5%, then the selling price is:
Option 1: Rs. 8550
Option 2: Rs. 7850
Option 3: Rs. 9000
Option 4: Rs. 9150
Correct Answer: Rs. 8550
Solution :
Single equivalent discount = $(a+b–\frac{a×b}{100}$)%, where $a$% and $b$% are successive discounts.
Here $a$ = 10% and $b$ = 5%
⇒ Single equivalent discount = $10+5-\frac{10×5}{100}=15-0.5=14.5\%$
Selling price = $10000×\frac{100-14.5}{100}=10000×\frac{85.5}{100}=8550$
Hence, the correct answer is Rs. 8550.
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