Question

A man sells two articles at the same price. On one article he makes profit of 15℅ . Find the loss of 15℅. Find the loss℅ or gain℅ on the whole transaction.

Answer 1

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Here is your answer
Let the Selling price of both Articles is 100
Now
for first Article
SP = 100
Profit% = 15%

As we know the formula
CP = SP×100/(100+Profit%)
$= \frac{100 \times 100}{100 + 15} \\ \\ = \frac{10000}{115} \\ \\ = 86.95$
For second Article
SP = 100
Loss % = 15%
As we know the formula

CP= SP × 100/(100- Loss%)
$= \frac{100 \times 100}{100 - 15} \\ \\ = \frac{10000}{85} \\ \\ = 117.65$
Now
Total SP = 200
Total CP = 86.95 + 117.65
= 204.57

So there is LOSS in the total transaction
as CP IS MORE THAN SP

Loss = CP - SP
= 204.57 - 200
= 4.57

LOSS % = LOSS × 100/CP
$= \frac{4.57 \times 100}{204.57} \\ \\ = 2.2\%$
Therefore Total Loss Percentage is 2.2%


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Answer 2

Hi friends
Here is your answer

I case
LET SP = 100
PROFIT = 15%
CP =
$= \frac{100 \times 100}{100 + 15} \\ = 86.96$
II CASE
SP = 100
LOSS = 15%
CP =
$= \frac{100 \times 100}{100 - 15} \\ = 117.65$

Now
Total SP = 200
Total CP = 117.96 + 86.96 = 204.61
Loss = 204.61 - 200 = 4.61

Loss% =
$= \frac{4.61 \times 100}{204.61} \\ = 2.25\%$
So Total Loss % is 2.25%

Hope it helps you

@ MSD