Question

A number, when increased by 10% gives 45. The number is?​

Answer 1

Answer:

The old number or the number by which 10% increased is 40.5 .

Step-by-step explanation:

Given :

A number increased by 10%

The new number comes 45

To find :

The old number or the number which is increased by 10%

Taken :

To find the number use this formula -:

$\boxed{\sf{O=\dfrac{100\%-I}{100\%}\:\times\:N}}$

Where,

O = Old number

I = Percent of number increased

N = New number

Solution :

$:\implies\sf{O=\dfrac{100\%-I}{100\%}\:\times\:N}$

$:\implies\sf{O=\dfrac{100\%-10\%}{100\%}\times45}$

$:\implies\sf{O=\dfrac{90\%}{\cancel{100\%}}\times\cancel{45}}$

$:\implies\sf{O=90\%\times0.45}$

$:\implies\sf{O=40.5}$

So , the old number is 40.5 .