Question

A number is first increased by $$20\%$$ and the resulting number is then decreased by $$10\%$$. Find the overall change in the number as percent.

A
10% increase
B
8% increase
C
12% increase
D
9% increase

Solution

The correct option is C $$8\%$$ increaseLet the number be $$x$$ First number $$= \cfrac {120}{100}x$$Second number $$= \cfrac {90}{100} \times \cfrac {120}{100}x = 1.08x$$ So, overall change in the number  $$\cfrac {1.08x-x}{x} \times 100 = 0.08 \times 100 = 8$$ % increase. Maths

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