Question : The price of a chair is Rs. 500. It has been sold at two successive discounts of 10% each. What is its selling price?
Option 1: Rs. 400
Option 2: Rs. 405
Option 3: Rs. 415
Option 4: Rs. 425
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Correct Answer: Rs. 405
Solution :
We know,
Equivalent single discount = $(a+b-\frac{a×b}{100}$)%,
Where $a,b$ are successive discounts.
So, $10+10-\frac{10\times 10}{100}=19$%
$\therefore$ Required selling price = (100 – 19)% of 500 = $\frac{500 \times 81}{100}$ = Rs. $405$
Hence, the correct answer is Rs. 405
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