Question

If the cost price of 6 pens is equal to the selling price of 4 pens. Find the profit or loss percent

Answer 1

Answer :

50 %

$\sf\underline{Step-by-step \: explanation}$

Let the CP of each pen be Rs. 1

Hence, the cost of the whole packet will be = Rs. 6

CP of the new packet with 4 pens = Rs. 4

(Cost price of new packet)

Profit on Rs. 6 = Rs. 2 (6 - 2 = 4)

Forming an equation,

$\frac{2}{4} \times \: 100$

After Cancellation...

50 %

Hence, the profit will be,

$\huge\underline{50 \: \%}$

Answer 2

Let CP of 1 pens=x

Then CP of 6 pens=6x

SP of 4 pens is=CP of 6 pens

SP of 4 pens=6x

CP of 4 pens=4x

Gain=SP-CP

=6x-4x=2x

Profit%=$\mathbf{\frac{gain}{CP}\times100}$

$\implies \mathbf{\frac{\cancel{2x}}{\cancel{4 x}} \times 100} \\ \\ \implies \mathbf{\frac{{1}}{{\cancel2}} \times \cancel{100}} \\ \\ \implies \mathbf{50}\%$

$\boxed{\mathbf{\huge{Profit=50\%}}}$