Question

Music system when sold for rupees 4500 gives a loss of 16.66% to a merchant who sells it. calculate his loss or gain percent if he sells it for rupees 5703.75

Answer 1

Let the price at which he bought the music system be P, so

16.66% = [P - 4500] / P *100

50/3 = [ 1 - 4500/P ] * 100

1/6 = 1 - 4500/P

4500/P = 1 - 1/6

4500/P  = 5/6

P = {4500 x 6} / 5

P = 5400

He sells now for 5703.75 so, profit/loss % is given by

[5703.75 - 5400 ] / 5400 * 100

= 303.75 / 5400 * 100

= 0.05625 * 100

Profit % = 5.625%

Answer 2

Answer:

SP of 4500 gives a loss of 16.66%

16.66 % = 1 / 6

so

CP * (1 - 1/6) = 4500

CP = (4500 * 6) / 5 = 5400

(5703.75 - 5400) / 5400 = 303.75 / 5400 = 5.625 %

Step-by-step explanation: