Question

84. A number is increased by 15% and then
decreased by 25% and the number becomes 22
less than the original number. The original
number is​

Answer 1

Given:

• A number is increased by 15% and then decreased by 25%.
• The numbers become 22 less than the original number.

To Find:

• The original number?

Let us assume:

• The original number be x.

Number is increased by 15%.

=> x + 15% of x

=> x = 0.15x

=> 1.15x

And then decreased by 25%.

=> 1.15x - 25% of 1.15x

=> 1.15x - (0.25 × 1.15x)

=> 1.15x - 0.2875x

=> 0.8625x

Finding the original number:

According to the question.

⟶ 0.8625x = x - 22

⟶ 0.8625x - x = - 22

⟶ -0.1375x = - 22

Cancelling minus.

⟶ 0.1375x = 22

⟶ x = 22/0.1375

⟶ x = 160

Hence,

• The original number is 160.