Math Is Fun Forum

shivusuja

Member

Registered: 2006-09-14

Posts: 56

cost price

A merchant sold a table and a chair at Rs. 3000.00 and made 20% profit. If he sells the chair at the cost price and the table at Rs. 1800.00 , he would make 12% profit. Find the cost price of the table and that of the chair ?

Please explain the sums in details.

Regards

Suja

Hooyoo

Member

Registered: 2006-09-08

Posts: 2

Re: cost price

easy!
assume the cost of the chair is x,and the table is y,then:

3000-(x+y) = 3000*0.2
1800-y = (1800+x)*0.12

solve this equation

mahmoudaljamel

Member

Registered: 2006-09-03

Posts: 18

Re: cost price

Sorry to say that HOOYOO solution is wrong ,
solving the two equations given by HOOYOO will give x= 1112.76, y = 1767.24 but
if we check by multiplying x and y by 1.2 it will not sum up to 3000.

this is my solution :

Let x the cost of table and y the cost of chair

he sold the table and the chair at 3000 and made 20% profit
(x + y)*1.2 = 3000
x + y = 2500
2500 is the cost of both table and chair
if he sells the chair at cost and the table at 1800 , he would make 12 %
y + 1800 = (2500 * 1.12)
y + 1800 = 2800
y = 1000
1000 is the cost of chair
x = 2500 - 1000 = 1500
1500 is the cost of table

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If you always do what you always did, you'll always get what you always got

shivusuja

Member

Registered: 2006-09-14

Posts: 56

Re: cost price

Mahmoudaljamel

                         Thanks For Solving My Problem.

Regards
Shivusuja