Question

(b) What percentage of 54 is 180? (1) 70% (2) 333/% (3) 30% (4) 33',% (5) None of these​

Answer 1

Answer:

333 1/3%

Step-by-step explanation:

let x% of 54 = 180

i.e. (X/100) ×54 = 180

on solving the equation we get X as 3331/3%

Answer 2

Answer -

• 180 is (333 1/3)% of 54.

To find -

• What percentage of 54 is 180.

Step-by-step explanation -

Let 180 be "x%" of 54.

Then :-

• "x%" of 54 will be 180.

Therefore,

$\hookrightarrow\rm x\% \: of \: 54 = 180$

$\hookrightarrow\rm\dfrac{x}{100} \times 54 = 180$

$\hookrightarrow \rm\dfrac{54x}{100} = 180$

$\hookrightarrow\rm54x = 180 \times 100$

$\hookrightarrow\rm54x = 18000$

$\hookrightarrow\rm x = \dfrac{18000}{54}$

$\hookrightarrow\rm x = \dfrac{1000}{3}$

$\hookrightarrow\rm x = 333 \: \dfrac{1}{3} \%$

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V E R I F I C A T I O N -

• To check our answer, let's find out (333 1/3)% of 54 and see whether we get 180.

(333 1/4)% of 54 -

$\dashrightarrow\tt333 \: \dfrac{1}{3}\% \: of \: 54$

$\dashrightarrow \tt\dfrac{1000}{3} \% \: of \: 54$

$\dashrightarrow\tt\dfrac{ \frac{1000}{3} }{100} \times 54$

$\dashrightarrow\tt \dfrac{10 \!\!\!\not0 \!\!\!\not0}{3} \times \dfrac{1}{1 \!\!\!\not0 \!\!\!\not0} \times 54$

$\dashrightarrow\tt\dfrac{10}{3} \times \dfrac{1}{1} \times 54$

$\dashrightarrow \tt \cancel{\dfrac{540}{3} }$

$\dashrightarrow\tt180$

We get 180 on finding out (333 1/3)% of 54.

Hence verified!!

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