Question

Reena sold two articles at ₹840 each .On one she gains 20 % and on the other she loses 20 %. How much does she profit or lose in the whole transaction?Also find her profit or loss percent in the whole transaction.​

Answer 1

SP = Rs. 840

if gain = 20%

gain% = (SP-CP)/CP * 100

⇒ 20= (840-CP)/CP * 100

⇒ 20/100 = (840-CP)/CP

⇒ 0.20CP = 840 - CP

⇒ 0.20CP + CP = 840

⇒ CP = 840/1.2 = Rs. 700

if loss = 20%

loss% = (CP-SP)/CP * 100

⇒ 20 = (CP-840)/CP * 100

⇒ 20/100 = (CP-840)/CP

⇒ 0.20CP = CP - 840

⇒ CP - 0.20CP = 840

⇒ CP = 840/0.8 = Rs. 1050

Total CP = 700+1050 = 1750

Total SP = 840+840 = 1680

loss = 1750- 1680= Rs. 70

loss% = loss/CP * 100 = 70/1750 * 100=4%.