A shopkeeper sold $\frac{2}{3}$ of his stock of rice at a profit of 5% and the remaining stock at a loss of 2%. If his total profit was ₹1000, then the cost price of the whole stock of rice is:

₹37,500

\(\frac{2X}{3}\)*\(\frac{5}{100}\) - \(\frac{X}{3}\)*\(\frac{2}{100}\)

\(\frac{10X}{300}\) - \(\frac{2X}{300}\) = 1000

\(\frac{8X}{300}\) = 1000

X = 37500 

The correct answer is Option (3) → ₹37,500