Question 1054653: a man sold two for Rs 1000 each.on one he again 30% and ane other he losses 20%.find the overall gain or loss %
Answer by Theo(13342)   (Show Source):
You can put this solution on YOUR website! he sold two units of something for 1000 apiece.
on the first unit he gains 30%.
on the second unit he loses 20%.
let x = the cost of the first unit.
let y = the cost of the second unit.
you get:
x + .3 * x = 1000
y - .2 * y = 1000
simplify these equations to get:
1.3 * x = 1000
.8 * y = 1000
in the first equation, solve for x to get x = 1000 / 1.3 = 769.2307692.
in the second equation, solve for y to get y = 1000 / .8 = 1250.
your combined cost is x + y = 769.2307692 + 1250 = 2019.230769.
your combined sale price is 1000 + 1000 = 2000.
your combined gain is the combined sale price minus the combined cost which is 2000 - 2019.230769 which is equal to -19.230769.
since combined loss is the opposite of combined gain, then your combined loss becomes 19.230769.
your combined loss percent becomes equal to your combined loss divided by your combined cost * 100 which becomes equal to 19.230769 / 2019.230769 * 100 which becomes equal to .9523809411% which can be rounded to .95%.
that's your combined loss percent.
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