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)?
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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%.
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