Question

Sarlatai bought 20 dresses from a wholesale
merchant for 9000 and sold them all at
*575 each. How much profit did Sarlatai
get in this transaction?​

Answer 1

➤ Given :-

Cost price of 20 dresses :- ₹9000

Selling price of each dress :- ₹575

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➤ To Find :-

Profit percentage gained by Sarlatai

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➤ Formula required :-

${\tt \large \dashrightarrow \orange{\boxed{\tt \gray{\dfrac{Profit}{Cost \: price} \times 100}}}}$

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★ How to do :-

Here, we are given with the cost price of 20 dresses and the selling price of each dress. We should find the profit percentage gained by Sarlatai. We are provided with cost price of 20 dresses and selling price of only one dress by which we cannot find the profit percentage. So, first we should find the selling price of all the dresses together. We know that to find the total selling price of all dresses, we should multiply the selling price of each dress and the total number of dresses. Later, we can find the profit percentage by using the given formula. So, let's solve!!

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➤ Solution :-

Selling price of 20 dresses :-

${\tt \leadsto 575 \times 20}$

${\tt \leadsto Rs \: \: 11500}$

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Profit rupees :-

${\tt \leadsto 11500 - 9000}$

${\tt \leadsto Rs \: \: 2500}$

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Now,

Profit percentage :-

${\tt \leadsto \dfrac{2500}{9000} \times 100}$

${\tt \leadsto \dfrac{2500}{\cancel{9000}} \times \cancel{100} = \dfrac{2500}{90}}$

${\tt \leadsto \dfrac{250 \cancel{0}}{9 \cancel{0}} = \dfrac{250}{9}}$

${\tt \leadsto \cancel \dfrac{250}{9} = \boxed{\tt 27.77 \bf\%}}$

$\Huge\therefore$ The profit percentage of the whole transaction is 27.77%.

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$\dashrightarrow$ Some related formulas :-

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

Answer 2

Profit= ₹2500

Step-by-step explanation:

Solution -

Let's first find the total selling price attained by the merchant.

$20 \times 575 \\ \\ = 11500$

So, the selling price is ₹11500.

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Let's now find the profit made by merchant.

$11500-9000 \\ \\ = 2500$

Hence, the merchant made the profit of ₹2500.