Question

Salim is a carpenter. He sold a chair for 900 making a profit of 250. Find
the cost price of the chair​

Answer 1

Step-by-step explanation:

Solution of the given problem is shown below,

Let C & S denote respectively the original cost-price & the original sell-price of the given chair.

It is mentioned that the chair was sold at a loss of 10%. So we get the following relation,

S = (1 - 0.10)*C = 0.90*C or C = (10/9)*S …… (1)

It is mentioned that if the chair was sold at Rs. 84 more, there would have been a gain of 4%. So we get the following relation,

S + 84 = (1 + 0.04)*C = 1.04*C = (26/25)*C

or S + 84 = (26/25)*(10/9)*S [from (1)]

or S + 84 = (52/45)*S or 45*S + 45*84 = 52*S

or 7*S = 45*84 or S = 45*12 = 540 (Rs) [Ans]