Answer

Verified

378.6k+ views

**Hint:**We will assume x as the selling price of 10 pens and cost price of 14 pens will also be x. Then, we will find the SP and CP of 1 pen. Then, we will use the fact that gain is equal to selling price minus cost price, i.e. gain= S.P. -C.P. We will use the formula, $gain\%=\dfrac{gain}{C.P}\times 100$ to get the gain%.

**Complete step by step answer:**

Let us take the selling price (S.P.) of 10 pens to be Rs. x.

Now, from this we can say that the S.P. of 1 article is

\[=Rs.\ \dfrac{x}{10}\]

Now, as given in the question, we know that the cost price(C.P.) of 14 pens is also Rs. x.

So, from this, we can get the C.P. of 1 article is

\[=Rs.\ \dfrac{x}{14}\]

Now, the profit made by selling 10 pens can be calculated as follows

Profit=selling price of 10 pens -cost price of 10 pens

Profit=x-10 times the cost price of 1 pens

(As assumed at the start of the question)

\[\begin{align}

& =x-10\times \dfrac{x}{14} \\

& =\dfrac{4x}{10} \\

& =\dfrac{2x}{5} \\

\end{align}\]

Hence, this is the profit that is experienced.

Now, for the profit percent, we can use the formula that is given in the hint as follows

\[\begin{align}

& \Rightarrow profit\%=\dfrac{profit}{C.P.}\times 100 \\

& \Rightarrow profit\%=\dfrac{\dfrac{2x}{5}}{10\times \dfrac{x}{14}}\times 100 \\

& \Rightarrow profit\%=\dfrac{14}{25}\times 100\% \\

& \Rightarrow profit\%=52\% \\

\end{align}\]

**Hence the profit percentage = 52%**

**Note:**Another method of doing this question is that we could simply take the cost price of 1 pen to be Re. 1. Then , we can proceed further as directed in the question and then we can use the formula for finding the profit % to get the final answer which would be the same as this one.

Recently Updated Pages

The Equation xxx + 2 is Satisfied when x is Equal to Class 10 Maths

Define absolute refractive index of a medium

Find out what do the algal bloom and redtides sign class 10 biology CBSE

Prove that the function fleft x right xn is continuous class 12 maths CBSE

Find the values of other five trigonometric functions class 10 maths CBSE

Find the values of other five trigonometric ratios class 10 maths CBSE

Trending doubts

How do you solve x2 11x + 28 0 using the quadratic class 10 maths CBSE

Fill the blanks with the suitable prepositions 1 The class 9 english CBSE

Write a stanza wise summary of money madness class 11 english CBSE

Which places in India experience sunrise first and class 9 social science CBSE

Difference between Prokaryotic cell and Eukaryotic class 11 biology CBSE

Change the following sentences into negative and interrogative class 10 english CBSE

Difference Between Plant Cell and Animal Cell

Which neighbouring country does not share a boundary class 9 social science CBSE

What is Whales collective noun class 10 english CBSE