Question

A shopkeeper bought 2 shirts for rs 1300. He sold one shirt at a profit of 20% and other shirt at 12%. If selling price of both shirts is same find the cost price of each shirt.

Answer 1

SP is the same for both the shirts

CP1+CP2= 1300

SP= profit1+CP1= profit2+ CP 2

Replace Cp1 by ( 1300 - CP2)

You will get CP2 = 672.41

Cp1 as 627.58

Answer 2

The cost price of each shirt are Rs.627.586 and Rs.672.414

Step-by-step explanation:

We are given that A shopkeeper bought 2 shirts for rs 1300.

Let cost price of 1 shirt be x

Cost price of other shirt = 1300-x

Case 1:

He sold one shirt at a profit of 20%

CP = x

Profit % = 20%

Profit = 0.2x

SP=CP+Profit=x+0.2x=1.2x

Case 2:

He sold other shirt at a profit of 12%

CP = 1300-x

Profit % =12%

Profit = 0.12(1300-x)

SP=CP+Profit=(1300-x)+0.12(1300-x)

We are given that selling price of both shirts is same

1.2x=1300-x+156-0.12x

1.2x=1456-1.12x

1.2x+1.12x=1456

2.32x=1456

$x=\frac{1456}{2.32}$

x=627.586

Cp of shirt 1 = Rs.627.586

CP of shirt 2 = 1300-627.586 = Rs.672.414

Hence the cost price of each shirt are Rs.627.586 and Rs.672.414

#Learn  more:

A shirt is sold for rs.135 at a profit of 12%. calculate the cost price of the shirt

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