A man sold an article for ₹147 by first giving a d% discount on its marked price, and then another discount having the same nominal value (in ₹). If the marked price of the article is ₹420, then what will be the value of d?
A man sold an article for ₹147 by first giving a d% discount on its marked price, and then another discount having the same nominal value (in ₹). If the marked price of the article is ₹420, then what will be the value of d?
एक व्यक्ति ने एक वस्तु को इसके अंकित मूल्य पर पहले d% की छूट और फिर उतने ही सममूल्य (₹ में) की एक और छूट देकर ₹147 में बेचा। यदि वस्तु का अंकित मूल्य ₹420 है, तो d का मान कितना होगा?
Detailed Solution & Logic
32.5
Simple Solution:
Marked Price = ₹420
First discount = $d%$ → amount = $ \frac{d}{100} \times 420 = 4.2d$
After first discount:
Price = $420 - 4.2d$
Second discount = same amount = $4.2d$
Final price =
$420 - 4.2d - 4.2d = 420 - 8.4d$
Given final price = 147
So,
$420 - 8.4d = 147$
$8.4d = 273$
$d = \frac{273}{8.4}$
$d = 32.5$
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