Question

A dealer gets 940 rupees more if instead of selling a table at a loss of 10% it is sold at a gain of 10% find the cost price of the table

Answer 1

Solution:-

Let us assume that the cost price of the table be 'x' Rs.

Then in the case of loss = x - (10 % of x)

⇒ x - 10x/100

⇒ x - x/10

⇒ 9x/10 Rs.

⇒ now in case of profit,

⇒ x + (10 % of x)

⇒ x + 10x/100

⇒ x + x/10

⇒ 11x/10 Rs.

The difference between profit and loss = (11x/10) - (9x/10) = 940

⇒ 2x/10 = 940

⇒ 2x = 9400

⇒ x = 9400/2

⇒ x = 4700

So, cost price of table is 4700 Rs.