Question

A shopkeeper bought 10 sewing machine of a particular type for rs 800 each and sold them at a profit equal to the selling price of the three machine. Find the selling price of the three machine. Find the selling price of one sewing machine.

Answer 1

Shopkeeper bought = 10 sewing machine
Cost of 10 sewing machine = Rs 800 each
= 800×10
= 8000
He sold them at a profit = cost of 3 sewing machine
= 800×3
= Rs 2400
Cost of one sewing machine = Rs 800

Answer 2

Answer:

The selling price of 3 machines is Rs.3428.4.

The selling price of one machine is Rs.342.8.

Step-by-step explanation:

Given : A shopkeeper bought 10 sewing machine of a particular type for rs 800 each and sold them at a profit equal to the selling price of the three machine.

To find : The selling price of the three machine and the selling price of one sewing machine?

Solution :

Let x be the profit of one machine.

A shopkeeper bought 10 sewing machine.

Profit of 10 sewing machine is 10x.

The cost price of machine is Rs.800

The selling price of each machine is 800+x

According to question,

$10x=3(800+x)$

$10x=2400+3x$

$7x=2400$

$x=\frac{2400}{7}$

$x=342.8$

The selling price of each machine is

$800+342.8=1142.8$

The selling price of 3 machines is

$3(1142.8)=3428.4$