Question

By selling a tv set, a retailer suffered a loss of 5%. Had he sold for 2880 more, he would have earned a profit of 10%. What was the C.P of tv set

Answer 1

Answer:

19200

Step-by-step explanation:

Loss incurred on selling TV = 5%

Let the CP of the TV = x

SP of the TV = 0.95x

New SP of the question = (0.95x + 2880)

Profit = (0.95x + 2880) - x = (2880 - 0.05x)

Profit = (2880 - 0.05x) - x

Profit % = {[(2880 - 0.05x) - x] / x} × 100

10 = {[(2880 - 0.05x) - x] / x} × 100

10/100 = {[(2880 - 0.05x) - x] / x}

x = 28800 - 0.05x

1.5x = 28800

x = 28800 / 15

x = 19200