Question

find x if x%of 1800 is 81
​

Answer 1

Answer:

• x = 4.5.

Given:

• x% of 1800 is 81

To find:

• Find x?

Solution:

• We know that, % = 100. So, x% = x/100

$\rightarrow \sf {\dfrac{x}{100} \times 1800 = 81}$

$\rightarrow \sf {\dfrac{x}{100} = \dfrac{81}{1800} }$

$\rightarrow \sf {x = \dfrac{81}{1800} \times 100 }$

$\rightarrow \sf {x = \dfrac{81}{18\cancel{00}}\times 1 \cancel{00 }}$

$\rightarrow \sf {x =\dfrac{81}{18} }$

$\rightarrow \sf {x= 4.5 }$

Therefore:

x = 4.5

Verification:

By replacing 4.5 in place of x, We get:

$\rightarrow \sf {\dfrac{4.5}{100} \times 1800=81}$

$\rightarrow \sf {\dfrac{4.5}{1} \times 18=81}$

$\rightarrow \sf { 4.5 \times 18=81}$

$\rightarrow \sf { 81=81}$

LHS = RHS

Hence , Verified.

Answer 2

$\boxed{\huge{\bf{\star{Correct\:question \:-:}}}}$

• Find the value of x . If x% of 1800 is 81 .

AnswEr-:

• $\longrightarrow{\sf{\large { The\:value \:of\:x \:is\: = 4.5 }}}$

EXPLANATION-:

$\star{\sf{\large { Given -:\:}}}$

• x % of 1800 is 81

$\star{\sf{\large { To\:Find -:\:}}}$

• The value of x .

$\dag{\sf{\large { Solution -:\:}}}$

• $\longrightarrow{\sf{\large { x\% \: of\:1800=81 }}}$

• $\star{\sf{\large { Or, \:}}}$

• $\longrightarrow{\sf{\large { x\% \: \times \:1800=81 }}}$

• $\dag{\sf{\large { We\:know\:that\:\% =\dfrac{1}{100} -:\:}}}$

• $\dag{\sf{\large { Then -:\:}}}$

• $\longrightarrow{\sf{\large { \dfrac{x}{100} \: \times \:1800=81 }}}$

• $\longrightarrow{\sf{\large { x \: \times \:18=81 }}}$

• $\longrightarrow{\sf{\large { x \: =\dfrac{81}{18} }}}$

• $\longrightarrow{\sf{\large { x \: = 4.5 }}}$

$\star{\sf{\large { Hence, \:}}}$

• $\longrightarrow{\sf{\large { The\:value \:of\:x \:is\: = 4.5 }}}$

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$\star{\sf{\huge { ♡Verification-:\:}}}$

• $\longrightarrow{\sf{\large { x\% \: of\:1800=81 }}}$

• $\star{\sf{\large { Here -:\:}}}$

• $\longrightarrow{\sf{\large { x \: = 4.5 }}}$

• $\star{\sf{\large { Now, \:}}}$

• Putting x = 4.5

• $\longrightarrow{\sf{\large { 4.5\% \: of\:1800=81 }}}$

• $\star{\sf{\large { Or, \:}}}$

• $\longrightarrow{\sf{\large { 4.5\% \: \times \:1800=81 }}}$

• $\dag{\sf{\large { We\:know\:that\:\% =\dfrac{1}{100} -:\:}}}$
• $\dag{\sf{\large { Then -:\:}}}$

• $\longrightarrow{\sf{\large { \dfrac{4.5}{100} \: \times \:1800=81 }}}$

• $\longrightarrow{\sf{\large { 4.5 \: \times \:18=81 }}}$

• $\longrightarrow{\sf{\large {81=81 }}}$

$\dag{\sf{\large { Therefore -:\:}}}$

• $\star{\sf{\large { LHS=\:RHS\:}}}$

• $\star{\sf{\large {Hence, \:Verified \:}}}$

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