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 = 8y of 12.5% + 175

$$8y=8y\times\frac{12.5}{100}+175$$

$$8y=8y\times\frac{1}{8}+175$$

8y = y + 175

8y-y = 175

7y = 175

y = 25

value of the number = 8y

= $$8\times25$$

= 200

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