Two articles are sold for ₹ 10,005 each. On one,the seller gains 15% and on the other, he loses 13%. What is his overall gain or loss percent, correct to two decimal places?

As per the given question,

The sold price of the article =Rs. 10005

On the first article, gain $$=15\%$$

On the other article, losses $$=13\%$$

Let the cost price of the first article is $$=x$$ and other is $$=y$$

So, $$gain =\dfrac{Sold price - Cost price}{Cost price}\times 100$$

$$\Rightarrow 15 =\dfrac{10005 - x}{x}\times 100$$

$$\Rightarrow 15x =10005\times 100 -x \times 100$$

$$\Rightarrow 115 x =10005\times 100$$

$$\Rightarrow x =\dfrac{10005\times 100}{115}=8700$$

Hence, profit amount $$=10005-8700=1305$$Rs

Now,

$$loss =\dfrac{Cost price-Sold price}{Cost price}\times 100$$

$$\Rightarrow 13 =\dfrac{x-10005}{x}\times 100$$

$$\Rightarrow 13x =100x-10005\times 100$$

$$\Rightarrow 100x-13x=10005\times 100$$

$$\Rightarrow 87x=10005\times 100$$

$$\Rightarrow x=\dfrac{10005\times 100}{87}=11500$$Rs.

Hence, loss amount $$=11500-10005=1495$$Rs.

So overall loss amount $$1495-1305=190$$Rs.

Hence the required percentage $$=\dfrac{190}{20020}\times 100 =0.94\%$$ loss