The difference between the value of the number increased by 32% and the value of the number decreased by 28% is 180. Find the number.

Correct option is A

Given:

Increase by 32% and decrease by 28%

Difference between the two values = 180

Solution:
Let the number be x
Increased value = x + 32% of x = x + $$32\% \text{ of } x$$​ = x(1 + 0.32) = 1.32x
Decreased value = x − 28% of x = x - $$28\% \text{ of } x$$​ = x(1 - 0.28) = 0.72x
Difference = 1.32x − 0.72x = 0.60x

Difference = 0.60x

0.60 x = 180

​$$\Rightarrow x = \frac{180}{0.60} = 300$$​​

Thus, the correct option is (a) 300

Alternate method

Let the number = 100%

According to the question:

(132 - 72) % = 180

60 % = 180

So, $$\frac{180}{60\%} \times 100\%$$

Number = 300