Question

Fourty five % of a no is 30 less then the three fifth of that no what is the no

Answer 1

The number is 200.

Given:

• 45% of a number is 30 less then the three fifth of that number.

To find:

• Find the number.

Solution:

Concept to be used:

1. Assume number.
2. Form equation to satisfy the given condition.
3. Solve to find the number.

Step 1:

Write the equation.

Let the number is x.

So,

45% of number is $\frac{45x}{100}$

3/5th of the number is $\frac{3x}{5}$

Now, write the equation,

$\bf \frac{45x}{100} + 30 = \frac{3x}{5}$

Step 2:

Find the value of x.

Solve the equation to find the number.

$\frac{45x + 3000}{100} = \frac{3x}{5}$

or

$\frac{3(15x + 1000)}{5 \times 20} = \frac{3x}{5}$

or

$\frac{(15x + 1000)}{ 20} = x$

or

$15x + 1000 = 20x$

or

$20x - 15x = 1000$

or

$5x = 1000$

or

$x = \frac{1000}{5}$

or

$\bf \red{x = 200}$

Thus,

The number is 200.

#SPJ3

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Answer 2

The number is $200$.

Given is $45$% of and is $30$ less than the three fifth of that number.

Find the number.

Solution - Let the number $x$

According to the question

$45%$% of a number is $\frac{45x}{100}$

So,

$\frac{45x}{100}$$+30=\frac{3x}{5}$

$\frac{45x+3000}{100}=\frac{3x}{5}$

$45x+3000=60x\\3000=60x-45x\\3000=15x\\x=200$

So, the number is $200$

#SPJ2