Question 56

If 85% of a number is added to 75, then the result is the number itself. The number is:

Solution

Let the number is x,

Now 85% of the $$=\dfrac{x\times 85}{100}$$

As per the condition,

$$x=75+\dfrac{x\times 85}{100}$$

$$\Rightarrow x-\dfrac{x\times 85}{100}=75$$

$$\Rightarrow \dfrac{100\times x-x\times 85}{100}=75$$

$$\Rightarrow \dfrac{15\times x}{100}=75$$

$$\Rightarrow x=\dfrac{75\times 100}{15}=500$$

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