If 80% of a number added to 80 gives the result as the number itself, then the number is A. 200 B. 320 C. 400 D. 480 Answer Workspace Report Discuss Answer with explanation Answer: Option C Explanation 2nd method: Let the number be x. 80% of x + 80 = x => (80/100 * x) + 80 = x => 80x/100 + 80 = x => (80x + 8000 )/ 100 = x (LCM) => 80x + 8000 = 100 x. (Cross multiplication) => 8000 = 100x – 80x => 8000 = 20x x = 8000/20 = 400 Workspace
Saran Harika says September 27, 2019 at 11:21 am Let the number be x. 80% of x + 80 = x => (80/100 * x) + 80 = x => 80x/100 + 80 = x => (80x + 8000 )/ 100 = x (LCM) => 80x + 8000 = 100 x. (Cross multiplication) => 8000 = 100x – 80x => 8000 = 20x x = 8000/20 = 400 Reply
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Let the number be x.
80% of x + 80 = x
=> (80/100 * x) + 80 = x
=> 80x/100 + 80 = x
=> (80x + 8000 )/ 100 = x (LCM)
=> 80x + 8000 = 100 x. (Cross multiplication)
=> 8000 = 100x – 80x
=> 8000 = 20x
x = 8000/20
= 400