Question 63

The difference between 73% of a number and 45% of the same number is 112. Find the number.

Solution

Let's assume the number is 'y'.

The difference between 73% of a number and 45% of the same number is 112.

73% of y - 45% of y = 112

$$\frac{73}{100}\times y-\frac{45}{100}\times y=112$$

$$\frac{28}{100}\times y = 112$$

$$\frac{1}{100}\times y = 4$$

y = 400

So the number is 400.

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