Question

10%of 20%of a number is 264.what is 55% of the number?​

Answer 1

55% of the number is 7260.

Step-by-step explanation:

Let x be the unknown number.

It is given that 10%of 20%of a number is 264.

$x\times \frac{20}{100}\times \frac{10}{100}=264$

On simplification we get

$0.02x=264$

Divide both sides by 0.02.

$\dfrac{0.02x}{0.02}=\dfrac{264}{0.02}$

$x=13200$

We need to find the 55% of the unknown number.

$13200\times \dfrac{55}{100}=7260$

Therefore, 55% of the number is 7260.

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Answer 2

55% of that number is 7260.

Step-by-step explanation:

• We assume that, the number is x.

• It is given that;

• 10% of 20% of number = 264

• Then, 10% of 20% of x = 264

• 10% of (20% of x ) = 264

        10% of $\left (x \times\dfrac{20}{100} \right )$ = 264

        10% of $\dfrac{x}{5}$ = 264

        $\dfrac{x}{5}\times \dfrac{10}{100}$ = 264

         x = $264\times 50$

         x = 13200

Now, 55% of 13200 = $13200\times \dfrac{55}{100}$

• 55% of 13200 = $132\times 55$ = 7260

Thus, 55% of that number is 7260.