A chair and a table cost 1800 rupees. If by selling the table at a profit of 15% and a chair at a loss 10% total profit of 6% is made .what is the cost price of a chair

Given Cost of chair and table together = Rs 1800

6% profit is made by selling the table at a profit of 15% and the chair at a loss of 10%.

To find :

The cost price of the chair.

Solution :

let price of table and chair be x and y respectively .

then , according to the question ,

x + y = 1800 ……(i)

6% profit is made by selling the table at a profit of 15% and the chair at a loss of 10% .

then ,

[ x + x * ( 15 / 100 ) ] + [ y – y * ( 10 / 100 ) ] = 1800 + 1800 * ( 6 / 100 )

( 23 * x / 20 ) + ( 9 * y / 10 ) = 1908

23 x + 18 y = 38160 ……(ii)

on solving the equations (i) and (ii) , we get ,

x = 1152 and , y = 648

The cost price of the chair is Rs 648 .

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