Question

if 60% of a 3/7 of a number is 54 then the number is​

Answer 1

Answer :-

• The required number is 210.

Given :-

• 60% of 3/7 of a number is 54.

To find :-

• The number.

Step-by-step explanation :-

• In this question, it has been given that 60% of 3/7 of a number is 54. We have to find the number.

Calculations :-

• Let the required number be x.

It has been given that :-

• 60% of 3/7 of x is 54.

----------------

$\sf \longmapsto 60\%\:\: of\: \:\dfrac{3}{7}\: \:of \:\:x = 54$

First let's multiply 3/7 with x to find 3/7 of the number,

$\sf \longmapsto \dfrac{60}{100} \times \dfrac{3}{7} \times x = 54$

Multiplying 3/7 with x,

$\sf \longmapsto \dfrac{60}{100} \times \dfrac{3x}{7} = 54$

3/7 of the number is 3x/7, so 60% of 3x/7 is 54.

$\sf \longmapsto \dfrac{60 \times 3x}{100 \times 7} = 54$

On simplifying,

$\sf \longmapsto \dfrac{180x}{700} = 54$

Transposing 700 from LHS to RHS, changing it's sign,

$\sf \longmapsto 180x = 54 \times 700$

Multiplying 54 with 700,

$\sf \longmapsto 180x = 37800$

Transposing 180 from LHS to RHS, changing it's sign,

$\sf \longmapsto x = \dfrac{37800}{180}$

Dividing 37800 by 180,

$\underline{\boxed{\sf \longmapsto x = 210}}$

----------------

• Hence, 60% of 3/7 of 210 is 54.

Answer 2

Question :

• if 60% of a 3/7 of a number is 54 then the number is.

Answer :

• 210.

Given :

• 60% of 3/7 of a number is 54.

To Find :

• Number.

Solution :

• Let the number be x.

$\: \:$

$\sf \60\%\:\: of\: \:\dfrac{3}{7}\: \:of \:\:x = 54$

$\: \:$

$\sf \dfrac{60}{100} \times \dfrac{3}{7} \times x = 54$

$\: \:$

$\sf \dfrac{60}{100} \times \dfrac{3x}{7} = 54$

$\: \:$

3/7 of the number is 3x/7, so 60% of 3x/7 is 54.

$\: \:$

$\sf \dfrac{60 \times 3x}{100 \times 7} = 54$

$\: \:$

$\sf \dfrac{180x}{700} = 54$

$\: \:$

$\sf \180x = 54 \times 700$

$\: \:$

$\sf \180x = 37800$

$\: \:$

$\sf \x = \dfrac{37800}{180}$

$\: \:$

$\underline{\boxed{\sf \ x = 210}}$

$\: \:$

So, 60% of 3/7 of 210 is 54.