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Question 54
When 175 is added to 12.5% of a number, the resultant is the number itself. What is the value of the number?
Solution
Let's assume the value of the number is '8y'.
When 175 is added to 12.5% of a number, the resultant is the number itself.
8y =Â 8y of 12.5% +Â 175
$$8y=8y\times\frac{12.5}{100}+175$$
$$8y=8y\times\frac{1}{8}+175$$
8y = y + 1758y-y =Â 175
7y =Â 175
y = 25
value of the number = 8y
= $$8\times25$$
= 200
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