Question

pls solve this question...with whole process​

Answer 1

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❚ QuEstiOn ❚

# If a is six times as large as b then by what what percent 'b' is less than 'a' ?

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❚ ANsWeR ❚

✺ Given :

• a is six times as as b

i.e., a=6b

✺ To Find :

• what percent'b' is less than 'a'

✺ Explanation :

According to the question , a is six times as large as b

i.e., a=6b

✏ a=6b

✏ $b=\dfrac{a}{6}$

Now ,

'b' is less than of 'a' by

= (a-b)

=6b-b

=5b

= $5\times\dfrac{a}{6}$

= $\dfrac{5a}{6}$

✺ Therefore :

'b' is less than of 'a' by the percentage of

✏ $\dfrac{\dfrac{5\cancel{a}}{6}}{\cancel{a}}\times100\%$

✏ $\dfrac{500}{6}\:\%$

✏ $\boxed{\large{\dfrac{250}{3}}}\:\%$

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Hence ,

'b' is less than of 'a' by the percentage of = $\dfrac{250}{3}\:\%$

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❏ Extra Question of same catagory

❚ QuEstiOn ❚

# If a is six times more than b then by what what percent 'b' is less than 'a' ?

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❚ ANsWeR ❚

✺ Given :

• a is six times more than b

i.e., a-b=6b

✺ To Find :

• what percent'b' is less than 'a'

✺ Explanation :

According to the question , a is six times as large as b ,

i.e., a-b=6b

✏ a=7b

✏ $b=\dfrac{a}{7}$

Now ,

'b' is less than of 'a' by

= (a-b)

=7b-b

=6b

= $6\times\dfrac{a}{7}$

= $\dfrac{6a}{7}$

✺ Therefore :

'b' is less than of 'a' by the percentage of

✏ $\dfrac{\dfrac{6\cancel{a}}{7}}{\cancel{a}}\times100\%$

✏ $\dfrac{600}{7}\:\%$

✏ $\boxed{\large{\dfrac{600}{7}}}\:\%$

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Hence ,

'b' is less than of 'a' by the percentage of = $\dfrac{600}{7}\:\%$

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