# Profit percent and loss percent with examples

1
by littledude

2015-12-06T15:02:20+05:30
John sold two digital cameras at \$3,000 each. On one he gains 20% and on the other he loses 20%. What percent does he gain on the whole transaction?Solution:For the first digital camera:Gain = 20%.Let cost price (C.P.) = \$100.Therefore, selling price (S.P.) = \$(100 + 20)                                       = \$120.When selling price (S.P.) is \$ 120, cost price (C.P.) is \$100.Therefore, when selling price (S.P.) is \$300, cost price (C.P.)= \$100/120 × 300= \$(100 × 300)/120= \$30000/120= \$2,500.Therefore, cost price (C.P.) of the first digital camera = \$2,500.For the second digital camera:Loss = 20%Let cost price (C.P.) = \$100.Therefore, selling price (S.P.) = \$(100 - 20) = \$80When selling price (S.P.) is \$80, the cost price (C.P.) is \$100.Therefore, when selling price (S.P.) is \$300, the cost price (C.P.)= \$100/80 × 300= \$30000/80= \$3,750.Therefore, cost price (C.P.) of the second digital camera = \$3,750.Thus, total cost price (C.P.) of two digital cameras = \$2,500 + \$3,750 = \$6,250Total selling price (S.P.) of two digital cameras = \$(2 × 3,000) = \$6,000.Thus, cost price (C.P.) > selling price (S.P.) so, there is a lossLoss = cost price (C.P.) - selling price (S.P.)       = \$6,250 - \$6,000       = \$250.Percentage loss = loss/cost price × 100                      = 250/6250 × 100                      = 25000/6250                      = 4%Therefore, John loses 4% on the whole transaction
Brad bought a laptop for \$8,000 and spent \$500 on its spares. He later sold it for \$9,500. Find his gain or loss percent.

Solution:

Cost price includes the overhead expenses also.

Therefore, C.P. = \$8,000 + \$500 = \$8,500

and S.P. = \$9,500

Since, S.P. > C.P., there is a profit

Profit = S.P. - C.P.

= \$9,500 - \$8500

= \$1,000

Profit percent = profit/(C.P.) × 100

= 1000/8500 × 100

= 200/17

= 11    13/17%
thnk u so much dear
wlc :)