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Question

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If 35% of a number added to 39 is the number itself, the number is

(a) 60
(b) 65
(c) 75
(d) 105

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Solution

(a) 60
Let x be the number.
According to question, we have:
(35% of x ) + 39 = x
35100×x+39=x
7x20+39=x
x-7x20=39
20x-7x20=39
13x20=39
∴ x = 39×2013 = 60
Hence, the required number is 60

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