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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