Question

if the cost of 6 pens is equals to the selling price 4 pens find the profit percent using profit and loss formula.​

Answer 1

S.P= $(\frac{100+p}{100})*C.P$

where, S.P = Selling Price

                p= profit percentage

             C.P= Cost Price

Let the selling price of one pen be x.

x= $(\frac{100+p}{100})*C.P$

Therefore, Selling price of four pen = 4x

4x= $4(\frac{100+p}{100})*C.P$--------(eq.1)

C.P = cost price of one pen

∴6(C.P)= Cost price of 6 pen.

∵6(C.P)= 4x   ---------(Given)

put,4x= 6(C.P)

6(C.P)=$4(\frac{100+p}{100})*C.P$

$\frac{6(C.P)}{C.P} = 4\frac{(100+p)}{100}$

$6 = 4\frac{(100+p)}{100}$

$600= 4(100+p)}$

$\frac{600}{4} =(100+p)$

$150=100+p$

$p=150-100$

p=50%

∴Profit percentage=50%