Question

75% of a number when added to 75 is equal to the number. The number is

Answer 1

Let x be the no.
75% x+75=x .....given
75x/100+75=x
x-75x/100=75
(100x-75x)/100=75
25x/100=75
x/4=75
x=75×4
x=300 (Ans)
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Answer 2

Answer:

Required number (n) = 300

Explanation:

Let a number be n

According to the problem given,

75% of a number when added to 75 is equal to the number

75% of n +75 = n

=> 75% × n + 75 = n

=> 75 = n - 75% × n

$\implies 75 = n - \frac{75}{100}\times n$

$\implies 75 = n - \frac{3}{4}\times n$

$\implies 75 =\frac{4n - 3n}{4}$

$\implies 75 = \frac{n}{4}$

$\implies 75 \times 4 = n$

$\implies 300 = n$

Therefore,

Required number (n) = 300

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