An article is sold at Rs. 31734 after two successive discounts of 14% and 18%. Find the marked price of the article.OPTIONS Rs. 30000 Rs. 40000 Rs. 45000 Rs. 32000
Question
An article is sold at Rs. 31734 after two successive discounts of 14% and 18%. Find the marked price of the article.OPTIONS Rs. 30000 Rs. 40000 Rs. 45000 Rs. 32000
Solution
To find the marked price of the article, we need to reverse the process of applying the discounts.
Step 1: Reverse the second discount The article was sold at Rs. 31734 after an 18% discount. This means that Rs. 31734 is 82% (100% - 18%) of the price before the second discount. So, we can find the price before the second discount by dividing Rs. 31734 by 82% (or 0.82 in decimal form).
Price before second discount = Rs. 31734 / 0.82 = Rs. 38724.39
Step 2: Reverse the first discount The price we just found was after a 14% discount. This means that Rs. 38724.39 is 86% (100% - 14%) of the original marked price. So, we can find the marked price by dividing Rs. 38724.39 by 86% (or 0.86 in decimal form).
Marked price = Rs. 38724.39 / 0.86 = Rs. 45028.36
So, the marked price of the article is approximately Rs. 45000. Therefore, the correct option is Rs. 45000.
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