Question

A CHAIR AND A TABLE TOGETHER COST 1800 RUPEES


IF BY SELLING TABLE AT A PROFIT OF 15% AND THE CHAIR AT A LOSS OF 10 % A TOTAL PROFIT OF 6% IS MADE, THEN WHAT. ID THE PRICE OF THE CHAIR

Answer 1

Explanation:

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 :

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 .