Question

By selling an article for `3841.60, Divya suffers a loss of `78.40. Find her loss percentage.

Answer 1

Answer:

S.P=`3841.60

Loss=`78.40

C.P=`3841.60+`78.40

=3920.00/3920

Loss%=78.40/3920×100

=2%

Answer 2

➤ Given :-

Selling price of an article :- ₹3841.60

Loss rupees :- ₹78.40

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➤ To Find :-

The loss percentage of the article.

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➤ Formula required :-

${\large \dashrightarrow \orange{\boxed{\tt \gray{\dfrac{Loss}{CP} \times 100}}}}$

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★ How to do :-

Here, we are given with the selling price and the loss rupees of the article. We are asked to find the loss percentage of that article. So, the given formula can be used for the same. But, first we should find the cost price of that article because it's required in the given formula. So, to find the cost price we should add the selling price and the loss rupees. The obtained answer will be the cost price. Later, to find the loss percentage of the article, we can use the given formula for the same. So, let's solve!!

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➤ Solution :-

Cost price of the article :-

${\tt \leadsto \underline{\boxed{\tt Selling \: price - Loss}}}$

Substitute the values.

${\tt \leadsto 3841.60 - 78.40}$

Subtract to get the cost price.

${\tt \leadsto Rs \: \: 3763.2}$

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Now, find the value of loss percentage by using the formula and substituting the values.

${\tt \leadsto \dfrac{78.40}{3763.2} \times 100}$

Write the fraction without decimal by extending them.

${\tt \leadsto \dfrac{7840}{376320} \times 100}$

Write the fraction in lowest form by cancellation method.

${\tt \leadsto \cancel \dfrac{7840}{376320} \times 100 = \dfrac{7}{672} \times 100}$

Now, multiply thr remaining fractions as they cannot be cancelled further.

${\tt \leadsto \dfrac{7 \times 100}{672} = \dfrac{700}{672}}$

Write it in the form of mixed fraction.

${\tt \leadsto \dfrac{700}{672} = \pink{ \underline{ \boxed{\tt 1 \frac{1}{24} \bf\%}}}}$

$\Huge\therefore$ The loss percentage of the article is ${\tt 1 \dfrac{1}{24} \bf\%}$

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$\dashrightarrow$ Some related formulas :-

$\small\boxed{\begin{array}{cc}\large\sf\dag \: {\underline{More \: Formulae}} \\ \\ \bigstar \: \sf{Gain = S.P – C.P} \\ \\ \bigstar \:\sf{Loss = C.P – S.P} \\ \\ \bigstar \: \sf{Gain \: \% = \Bigg( \dfrac{Gain}{C.P} \times 100 \Bigg)\%} \\ \\ \bigstar \: \sf{S.P = \dfrac{100+Gain\%}{100} \times C.P} \\ \\ \bigstar \: \sf{C.P =\dfrac{100}{100+Gain\%} \times S.P} \\ \\\bigstar \: \sf{S.P = \dfrac{100-loss\%}{100} \times C.P} \\ \\ \bigstar \: \sf{C.P =\dfrac{100}{100-loss\%} \times S.P}\end{array}}$