Question

33% of a number is 555. Find the number.​

Answer 1

Answer:

Ans = 1681.81

Step-by-step explanation:

Let the number be x. So,

Now,

33% of x = 555

( 33/100 ) * x = 555

x = ( 555*100 ) / 33

X= 1681.81

Answer 2

Given:

• 33% of a number is 555.

To calculate:

• The number.

Calculation:

Here, we are given that 33 % of any number is 555. We have to find that unknown number. So, at first we'll assume the unknown number as a variable and we'll convert % age into fraction. After that, we'll form an algebraic equation and by solving that equation we'll find the unknown number.

Let,

⪼ The number be x.

According to the question,

⪼ 33 % of Number = 555

⪼ 33 % of x = 555

[ Of means ' × ' ]

➛ 33 % × x = 555

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Converting 33 % to fraction :

• To convert the % into fraction, we divide the number from 100. So,

⪼ Number % = $\sf { \dfrac{Number}{100} }$

⪼ 33 % = $\sf { \dfrac{33}{100} }$

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➛ $\sf { \dfrac{33}{100} }$ × x = 555

➛ $\sf { \dfrac{33}{100} }$ x = 555

➛ x = 555 ÷ $\sf { \dfrac{33}{100} }$

➛ x = 555 × $\sf { \dfrac{100}{33} }$

➛ x = $\sf { \dfrac{55500}{33} }$

➛ x = $\sf { \dfrac{18500}{11} }$

➛ Number = $\sf { \dfrac{18500}{11} }$

So, the number is 18500/11.

Verification:

As per the given question,

⪼ 33 % of Number = 555

L.H.S :

⪼ 33 % × $\sf { \dfrac{18500}{11} }$

⪼ $\sf { \dfrac{\cancel{33}}{100} }$ × $\sf { \dfrac{18500}{\cancel{11}} }$

⪼ $\sf { \dfrac{3}{\cancel{100}} \times 185\cancel{00} }$

⪼ $\sf { 3 \times 185}$

⪼ $\boxed{ \sf {L.H.S \rightarrow 555}}$

R.H.S :

⪼ $\boxed{ \sf {R.H.S \rightarrow 555}}$

L.H.S = R.H.S,

Hence, verified !