Question

A number is increased by 15% and then decreased by 10%. Find the net increase or decrease
per cent.​

Answer 1

Answer:

103.5%

Step-by-step explanation:

Let the number be x

We are given that number is increased by 15 %

New number = x+\frac{15}{100}x = 1.15 xx+

100

15

x=1.15x

Now number is decreased by 10%

New number = 1.15 x -\frac{10}{100}(1.15x)=1.035x1.15x−

100

10

(1.15x)=1.035x

Percentage increase = \frac{1.035 x}{x} \times 100= 103.5\%

x

1.035x

×100=103.5%

Hence Percentage increase is 103.5℅