Question

A man buys 6 pen at 5 and sell 5 pen at 6 . find it's profit percent.

Answer 1

We are provided the following information,

Cost Price ( abbreviated as CP ) for 6 pens = ₹ 5

Selling Price ( abbreviated as SP ) for 5 pens = ₹ 6

Now by unitary method we can calculate the CP and SP for each pen.

CP for 6 pens = ₹ 5
CP of 1 pen = ₹ 5 / 6 = ₹ 0.83 ( approximately )

SP for 5 pens = ₹ 6
SP of 1 pen = ₹ 6 / 5 = ₹ 1.2

Now,

We see that SP > CP so Profit is gained.

Profit = SP - CP
P = ₹ 1.2 - ₹ 5 / 6
P = ₹ ( 7.2 - 5 ) / 6
P = ₹ 2.2 / 6
P = ₹ 22 / 60
P = ₹ 11 / 30

Now,

Profit percentage = ( P / CP ) * 100
P % = $\frac{ \frac{11}{30} }{ \frac{5}{6} } \times 100$

P % = $\frac{11}{30} \times \frac{6}{5} \times 100$

On simplifying we get,

P % = 11 / 25 * 100

Hence,

P % = 11 * 4 = 44 %

Profit percentage = 44 %

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