A number is first increased by 12% and then increased by 23%. The number, so obtained, is now decreased by 34%. What is the net increase or decrease percent in the original number (nearest to an integer)?
Show answer & explanation
Correct answer: B
Explanation
The correct answer is Option 2 i.e. 9% decrease.
We know that,
Net effect = x + y + xy/100
Now,
⇒ x = + 12, y = +23
So,
⇒ 12 + 23 + 276/100
⇒ 35 + 2.76 = 37.76
Now, applying the net effect again
⇒ x = 37.76, y = - 34
⇒ 37.76 - 34 - 1283.84/100
⇒ 3.76 - 12.83 = -9.07
Rounding to the nearest integer, the net decrease percentage in the original number is approximately 9%