Question : An article is sold for Rs. 560 after two successive discounts of 30% and 20%. What is the marked price of the article?
Option 1: Rs. 1000
Option 2: Rs. 800
Option 3: Rs. 920
Option 4: Rs. 700
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Correct Answer: Rs. 1000
Solution : We know, Equivalent single discount = $(a+b–\frac{a×b}{100}$)%, where $a,b$ are successive discount. So, $30+20-\frac{30\times 20}{100}=44$% Selling Price of the article = Rs. 560 Marked price of the article = $S.P \times (\frac{100}{100-Discount\%})$ = $560 \times (\frac{100}{100-44})$ = $560 \times (\frac{100}{56})$ = Rs. 1000 Hence, the correct answer is Rs. 1000.
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