Question

x% of 640 cm = 352 find the value of x​

Answer 1

Answer:

(x/100)*640=352

(x/10)*64=352

6.4 x =352

x=352/6.4

x=55

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Answer 2

Answer :-

• 55% of 640 cm = 352.
• x = 55%.

Given :-

• x% of 640 cm = 352.

To find :-

• The value of x.

Step-by-step explanation :-

Lets find the value of x.

Lets also ignore the units for our convenience. We can add them in our answer later.

$\sf Q) \: x\% \: of \: 640 \: cm = 352$

On converting x% to fraction,

$\sf \Rightarrow\dfrac{x}{100} \times 640 = 352$

Cutting off the zeroes,

$\sf \Rightarrow\dfrac{x}{ \not10} \times \not64 = 352$

Reducing the numbers,

$\sf \Rightarrow\dfrac{x}{5} \times 32 = 352$

On multiplying,

$\sf \Rightarrow\dfrac{32x}{5} = 352$

Transposing 5 from LHS to RHS, changing it's sign,

$\sf \Rightarrow32x = 352 \times 5$

On multiplying,

$\sf \Rightarrow32x = 1760$

Transposing 32 from LHS to RHS, changing it's sign,

$\sf \Rightarrow x = \dfrac{1760}{32}$

Dividing 1760 by 32,

$\sf \Rightarrow x = 55.$

Therefore, 55% of 640 cm = 352.

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Verification :-

To check our answer, lets put 55% (The value of x) instead of x and see whether LHS = RHS or not.

Doing so, we get :-

LHS

$\sf \Rightarrow55\% \: of \: 640$

Converting 55% into fraction,

$\sf \Rightarrow\dfrac{55}{100} \times 640$

Cutting off the zeroes,

$\sf \Rightarrow \dfrac{ \not55}{ \not10} \times 64$

Reducing the numbers,

$\sf \Rightarrow\dfrac{11}{ \not2} \times \not64$

Reducing the numbers again,

$\sf \Rightarrow\dfrac{11}{1} \times 32$

$\sf \dfrac{11}{1}$ can be written as 11, so :-

$\sf \Rightarrow11 \times 32$

On multiplying,

$\sf \Rightarrow352.$

RHS

$\sf \Rightarrow352.$

Since LHS = RHS,

Hence verified!

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