Question

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

Answer 1

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) = 470
⇒ 2x/10 = 470
⇒ 2x = 4700
⇒ x = 4700/2
⇒ x = 2350
So, cost price of table is 2350 Rs.