Question

a number is first increased by 16% and then increased by 14% .the number,so obtained,is now decreased by 30% . what is the net increase or decrease percent in the original number ( nearest to an integer)?​

Answer 1

Number (decrease/ increase)

Given: a number is first increased by 16% and then increased by 14%; the number, so obtained, is now decreased by 30%

To find: the net increase or decrease percent in the original number (nearest to an integer)

Solution:

• Let the given number be D

• With 16% increase, 14% increase and 30% decrease, the number D will become
• = D (1 + 16/100) (1 + 14/100) (1 - 30/100)
• = D * 116/100 * 114/100 * 70/100
• = 0.92568 D

• The number, so obtained, is surely less than D.

• Thus decrease = D - 0.92568 D = 0.07432

• Required percentage of decrease is
• = 0.07432 * 100%
• = 7.432%

Answer: the net decrease in the original number is 7%.