Question

cindy bought 50 pens for $150 then sold each pen for $3.75. find the profit or loss percentage​

Answer 1

Cindy had a profit of 25%
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Answer 2

➤ Given :-

Cost price of 50 pens :- ₹150

Selling price of 1 pen :- ₹3.75

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➤ To Find :-

The profit or loss percentage obtained by Cindy.

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➤ Formula required :-

${\large \dashrightarrow \orange{\boxed{\tt \gray{\dfrac{Profit \: (or) \: Loss}{CP} \times 100}}}}$

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★ How to do :-

Here, we are given with the cost price of 50 pens and the selling price of only one pen. We are asked to find the total profit or loss percentage obtained while selling those pens. So, first we should find the selling price of all the 50 pens by multiplying the cost of each pen and the total number of pens. Then, we should find the cost price with selling price to obtain profit rupees. Later, we can use the given formula to find the profit percentage. So, let's solve!!

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➤ Solution :-

Find the selling price of all the pens by multiplying the cost of one pen and number of pens.

Selling price of all pens :-

${\tt \leadsto 3.75 \times 50}$

${\tt \leadsto Rs \: \: 187.50}$

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Now, find the profit rupees by subtracting the selling price and the cost price of all the 15 pens.

Profit rupees :-

${\tt \leadsto 187.50 - 150}$

${\tt \leadsto Rs \: \: 37.5}$

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Now, find the profit percentage by using the given formula.

Profit percentage :-

${\tt \leadsto \dfrac{37.5}{150} \times 100}$

Convert the given fraction in bigger form by removing the decimal point.

${\tt \leadsto \dfrac{375}{1500} \times 100}$

Cancel the zeros.

${\tt \dfrac{375}{15 \cancel{00}} \times 1 \cancel{00}}$

Write the resulting fraction and simplify it further.

${\tt \leadsto \dfrac{375}{15} = \orange{\underline{\boxed{\tt 25 \bf\%}}}}$

$\Huge\therefore$ The profit percentage obtained to Cindy is 25%.

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$\dashrightarrow$ Some related formulas :-

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