Question

By what number must the given number be multiplied to increase the no by 20 percent

Answer 1

Given:

number must the given number be multiplied to increase the no by 20 percent

Find:

What number multiplied to increase the no by 20 percent =?

Solution:

Let the number be x

It is increased by 20%

• According to question we have
• New number = $x + (x \times 20\%)$

=>  we know that to find 20%, we need to divided 20 by 100

• New number = $x+ (x\times\frac{20}{100} )$

                               = $x + \frac{x}{5}$

                               $= \frac{5x + x}{5}$

                               $=\frac{6x}{5}$

So the new number is $\frac{6}{5}$

Hence the  $\frac{6}{5}$  must the given number be multiplied to increase the no by 20 percent

Answer 2

A number must be multiplied with 6/5 or 1.2 to increase the number by 20%

Given:

• A number increased by 20 %

To Find:

• By what number , it should be multiplied

Solution:

Step 1:

Assume that number is x

Step 2:

Assume that number is multiplied by y so that number is increased by 20%

Step 3:

Multiply x and y to get new number

xy

Step 4:

Add 20% of x in x to get new number

x + (20/100)x

= x + x/5

= 6x/5

Step 5:

Equate the numbers

xy = 6x/5

Step 6:

Cancel x from both sides

y = 6/5

y = 1.2

Hence, A number must be multiplied with 6/5 or 1.2  to increase the number by 20%