Math, asked by kunwarbhavna1988, 1 month ago

Ch-10 Percentage and Its applications I want answer of Q2,4,6 Read Question properly ​

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Answers

Answered by qnahdbsmalaiajhwb
1

Answer:

see from the above picture and get ur solution

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Answered by whamwham
16

There are two things we need to remember throughout this question:

Percentage is a fraction with the denominator 100. So, 1% is equal to 1/100, 2% is equal to 2/100 and so on.

⇒ When we say 'of', we mean to multiply. For example, " ⅖ of 10 chocolates " = ⅖ x 10 = 4 chocolates

Answers:

ii) 0.25% of 96

Let us convert the percentage into a fraction. We remove the percentage symbol and make the denominator 100.

\sf{We\:get\:\dfrac{0.25}{100}\:=\:\dfrac{25}{1000}

Since, 'of' represents multiplication, we have to multiply 25/1000 and 96.

\sf{=\:\dfrac{25}{1000}\times\dfrac{96}{1}}

Cancelling,

\sf{=\:\dfrac{1}{40}\times\dfrac{96}{1}

\sf{=\dfrac{96}{40}}

Cancelling,

\sf{=\:\dfrac{24}{10}}

\sf{=\:0.24}

Therefore, 0.25% of 96 is 0.24.

\bf{iv)\:6\dfrac{2}{3}\%\:of\:87}

Now we have a mixed fraction with the percentage symbol. Let us convert it into an improper one.

\sf{6\dfrac{2}{3}=\dfrac{(6\times3)+2}{3}=\dfrac{20}{3}}

As 'of' means multiplying, we multiply 20/3 by 87, with the denominator 100.

\sf{=\dfrac{\dfrac{20}{3}\times87}{100}}

Keeping this fraction in our minds, let us first solve the numerator part.

\sf{\Rightarrow \dfrac{20}{3}\times87}}

Cancelling,

\sf{=\dfrac{20}{1}\times29}}

\sf{=580}

Now, we have:

\sf{=\dfrac{580}{100}}

Cancelling the zeroes,

\sf{=\dfrac{58}{10}

\sf{=5.8}

\bf{\underline{Therefore,\:6\dfrac{2}{3}\%\:of\:8=5.8}}

vi) 9% of 6 litres

Converting the percentage into a fraction,

\sf{9\%=\dfrac{9}{100}}

Substituting × for 'of',

\sf{=\dfrac{9}{100}\times6}

\sf{=\dfrac{54}{100}}

\sf{=0.54}

Therefore, 9% of 6 litres is 0.54.

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