If 20% of a number is added to 90, then the result is the same number. 80% of the same number is:
If 20% of a number is added to 90, then the result is the same number. 80% of the same number is:
यदि किसी संख्या का 20% में 90 जोड़ने पर परिणाम वही संख्या प्राप्त होती है, तो उसी संख्या का 80% कितना होगा?
Detailed Solution & Logic
Correct Answer:
90
Solution:
Let the number be $x$.
According to the question,
$90 + 20% \text{ of } x = x$
$90 + 0.2x = x$
$90 = x - 0.2x$
$90 = 0.8x$
$x = \frac{90}{0.8} = 112.5$
Now,
$80%$ of the number
$= 0.8 \times 112.5 = 90$
Answer: 90
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