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

Open in App

Solution

Given, cost of chair and table together $= R s 1800$
$6 %$ profit is made by selling the table at a profit of $15 %$ and the chair at a loss of $10 %$
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 ,
$[x + x * (15 / 100)] + [y - y * (10 / 100)] = 1800 + 1800 * (6 / 100)$

$(23 * x / 20) + (9 * y / 10) = 1908$
$23 x + 18 y = 38160$ …… $(i i)$
On solving the equations $(i)$ and $(i i),$ we get ,
$x = 1152$ and , $y = 648$
Hence , the cost price of the chair is $R s 648$ .

Suggest Corrections

Similar questions

Q. A man sold a chair and a table together for Rs 760, thereby marking a profit of 25% on chair and 10% on table. By selling them together for Rs 767.50, he would have made a profit of 10% on the chair and 25% on the table. Find the cost price of each.

A man sold a chair and a table together for Rs.1520, thereby making a profit of 25% on a chair and 10% on the table. By selling them together for Rs.1535, he would have made a profit of 10% on the chair and 25 % on the table. Find the cost price of each.

Q. Rohit sold a chair and a table together for₹1520 thereby making a profit of 25% on the chair and 10% on table. By selling them together for ₹1535 he would have made a profit of 10% on the chair and 25% on the table. Find the cost price of each.

A shopkeeper sells a table at $8 %$ a profit and a chair at a $10 %$ discount, thereby getting $₹ 1008$ . If he had sold the table at $10 %$ profit and the chair at $8 %$ discount, he would have got $₹ 20$ more. Find the cost price of the table and the list price of the chair.

Q. A man sold a chair and a table together for

R s . 760

thereby making profit of

25

on chair and

10

on table. By selling them together for

R s . 767.50

, he would have made a profit of

10

on chair and

25

on table. Find the cost price of each.

Join BYJU'S Learning Program

A chair and a table cost 1800rupees. 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

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