The price of a product is decreased by x% and then increased by x%. The final price become 10% less than the original price. What is the approximate value of x?
The price of a product is decreased by x% and then increased by x%. The final price become 10% less than the original price. What is the approximate value of x?
किसी वस्तु की कीमत पहले x%कम की जाती है और फिर x% बढ़ाई जाती है। अंतिम कीमत मूल कीमत से 10% कम हो जाती है। x का मान (लगभग) क्या हैं?
Detailed Solution & Logic
Correct Answer:
31.6
Given:
Price decreases by $x%$ and then increases by $x%$
Final price = 10% less ⇒ 90% of original
Using formula:
Net effect $= 1 - \frac{x^2}{10000}$
So,
$1 - \frac{x^2}{10000} = 0.9$
$ \frac{x^2}{10000} = 0.1$
$x^2 = 1000$
$x \approx 31.6$
Correct Answer: 31.6 ✅
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