Two - third of a consignment was sold at a profit of 5% and the remainder at a loss of 2%. If the total profit was Rs. 400. Then the value of the consignment was = ?

Answer: Option A

The best way is to go through option. Consider option (A)
Total profit =
$$\begin{array}{rl}& 15000\times \frac{2}{3}\times 5\%\\ & =15000\times \frac{2}{3}\times \frac{5}{100}\\ & =500\end{array}$$

Total loss =
$$\begin{array}{rl}& 15000\times \frac{1}{3}\times 2\%\\ & =15000\times \frac{1}{3}\times \frac{2}{100}\\ & =100\end{array}$$
Net gain = ( 500 - 100 ) = Rs. 400
Hence: option (A) is correct.