ashima sold two coolers for Rs 3990 each. on selling one cooler she gained 5% and on selling the other she suffered a loss of 5% . find her overall gain or loss % in whole transaction
Answers
By formula,If gain and loss% are same then there is always 1%loss
1st Cooler :
Selling Price = 3990
Given that she gained 5% on the 1st Cooler
We know that Gain% = {(SP - CP)/CP} × 100
⇒ 5 = {(3990 - CP)/CP} × 100
⇒ 5CP = 399000 - 100CP
⇒ 105CP = 399000
⇒ CP = (399000/105) = 3800
⇒ Cost Price of the 1st Cooler = 3800
2nd Cooler :
Selling Price = 3990
Given that she suffered a loss 5% on the 2nd Cooler
We know that Loss% = {(CP - SP)/CP} × 100
⇒ 5 = {(CP - 3990)/CP} × 100
⇒ 5CP = 100CP - 399000
⇒ 95CP = 399000
⇒ CP = (399000/95) = 4200
⇒ Cost Price of the Second Cooler = 4200
Total Cost Price of Two Coolers = 4200 + 3800 = 8000
Total Selling Price of Two Coolers = 3990 + 3990 = 7980
As the Total Selling Price is Less than Total Cost Price
Ashima suffered an Overall Loss, Because Total Money spent on the Coolers is Greater than Total money she got by selling the Coolers.
Overall Loss = Total Cost Price - Total Selling Price
Overall Loss = 8000 - 7980 = 20
Overall Loss % = {(Overall Loss)/(Total CP)} × 100
Overall Loss % = (20/8000) × 100 = 0.25%