Question

if a is 40 percent of b then what percent is b of a

Answer 1

Concept Introduction:-

It might resemble a word or a number representation of the quantity's arithmetic value. It could resemble a word or a number that represents the numerical value of the quantity. It could resemble a word or a number that represents the numerical value of the quantity. It could have the appearance of a word or a number that denotes the quantity's numerical value.

Given Information:-

We have been given that if $a$ is $40$ percent of $b$.

To Find:-

We have to find that what percent is $b$ of $a$.

Solution:-

According to the problem

$B / (A + B) = 40/100 = 2/5\\(A + B)/B - 1 = 5/2 - 1$

$A/B$ in $\% = 3/5 \times 100 = 150\%$.

Alternate method.

$B = 0.4(A + B) ($Since $B$ is $40\%$ of $A + B)$

$B = 0.4A + 0.4B\\0.6B = 0.4A\\A = (0.6/0.4)B$

$A = 1.5 B$ which means $A$ is $150\%$ of $B$.

Final Answer:-

The correct answer is percent is $b$ of $a$ is $150\%$.

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Answer 2

Answer: if a is 40% of b then bis 250% of a

Step-by-step explanation:

Given:  a is 40 percent of b.

To find: We have to find what percent is b of a.

Explanation:

Step 1: Since a is 40% of b.

i.e. $a=40$% of $b$

     $a=\frac{40}{100}$ × $b$

     $a=0.4b$

Step 2: On dividing both side by 0.4,we get,

   $\frac{a}{0.4}=b$

Step 3: On rearranging the terms we get,

$(\frac{1}{0.4} )$×$a=b$

Step 4: On solving the above equation we get,

$2.5a=b$

Step 5: Since, $2.5=\frac{250}{100}$,this means that b is 250% of a.

i.e. $b=250$% of $a$.

Hence,if a is 40% of b then bis 250% of a.

Percent: A percentage is a number or ratio that can be expressed as a fraction of 100. If we have to find percent of a number, divide the number by the whole and multiply by 100. Hence, the percentage means, a part per hundred. The word per cent means per 100.It is denoted by %.

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