Question 73
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)?
Solution
Let the number be x
ATQ,
Number is first increased by 16%,
So,
Obtained number = 1.16x
Obtained number is increase by 14%
So, obtained number = 1.16x $$\times \frac{114}{100}$$ = 1.3224x
NUmber is decreased by 30%
So, obtained number = 1.3224x $$\times \frac{70}{100}$$ = 0.9256
Net decrement = x - 0.9256x = 0.0744
Percentage decrement = $$\frac{0.074x}{x} \times 100$$ = 7.4%
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