Question

A no. is increased by 10%and then resulting no.is again increased by 20%.what is the overall percentage increase in the number.

Answer 1

let original number be 100
Increase=10%
So, Increase = 100×10÷100 = 10
New number = 100+10 = 110
Increase % = 20
so, Increase = 110×20÷100 = 22
so, New number = 110 + 22 = 132

Answer 2

let the number is x
:.the number increased by 10%.
:.x+10/100
:.10x+1/10is the new number.

this number is again increased by 20%.

:. the new number is..
10X+1/10+20/100

10X+3/10
NOW...,
X-10X+3/10

=3/10
i.e.the number increased by 32%
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