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
Answers
Answer:
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 .
Answer:
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 .