Question

A man sold two articles for Rs. 4000 each gaining 40% on the one and losing 40% on the other Find his gain (or) loss per cent on the whole transaction___

• A. $16$%
• B. $8$%
• C. $12$%
• D. $4$%

Answer 1

Answer: (A)

$16$%

For $1^{st}$ article:

Let $CP$ be $x_1$. Then according to question:

$x_1+40\%of{x}_1=Rs.4000$

$\Rightarrow 1.4x_1=Rs.4000$

$\Rightarrow x_1=\frac{4000}{1.4}=Rs.\frac{20000}{7}=Rs.2857.143$

For $2^{nd}$ article:

Let the $CP$ be $x_2$. Then according to question:

$x_2-40\%of{x}_2=Rs.4000$

$\Rightarrow 0.6x_2=4000$

$\Rightarrow x_2=\frac{4000}{0.6}=Rs.6666.667$

So,

$TotalCP=2857.143+6666.667=Rs.9523.8$

And,

$TotalSP=4000+4000=Rs.8000$

Since, $CP>SP$. Hence loss will occurs.

Hence,

$Loss=CP-SP=9523.8-8000=Rs.1523.8$

So,

$Loss\left(\%\right)=\frac{1523.8}{9523.8}\times 100=15.99\%=16\%$