Question

If a shopkeeper sells a table at a profit of 10% and a chair at a loss of 15%, he neither gain
nor loss on the whole. If he sells the table at 15% profit and chair at a loss of 10%, he would
have gained 150 on the whole. Find the cost price of the table.
(a) * 1200
(b) 1800
(c) 2400
(d) 3000​

Answer 1

Answer:

1800 Rs

Step-by-step explanation:

let the price of table be x and price of chair be y

profit of 10% on x will be x/10

and loss of 15 % on y will be 3y/20

he neither gains or loss so profit - loss is 0

which means x/10-3y/20=0

$x \div 10 = 3y \div 20$

$x = 3y \div 2$

$y = 2x \div 3$

also given then if he sells table at 15 % profit

which means 3x/20

and loss on chair at 10% = y/10

gain is 150

which means 3x/20 - y/10 = 150

3x-2y = 150*20

3x-2y = 3000 --- eq1

we have solved above and get the value of y=2x/3

put this value in eq1

3x-2*(2x/3)= 3000

3x-4x/3=3000

9x-4x=9000

5x=9000

x=1800.

SO THE COST PRIZE OF TABLE IS 1800 RS.

HOPE IT HELPS

Answer 2

Step-by-step explanation: