If sales are Rs. 6000, gross profit is $$\frac{1}{3}$$ on cost, purchase are Rs. 4,900 and the closing stock is Rs. 900, the opening stock will be:

The correct answer is: C. Rs. 2,000

Explanation:

We can use the following formula to calculate the opening stock:

Opening stock = Closing stock + Cost of goods sold – Purchases

We know that the closing stock is Rs. 900, the cost of goods sold is $\frac{2}{3}$ of the purchase, which is $\frac{2}{3} \times 4900 = 3200$, and the purchases are Rs. 4900.

Substituting these values into the formula, we get:

Opening stock = 900 + 3200 – 4900 = 2000

Therefore, the opening stock is Rs. 2,000.

Here is a brief explanation of each option:

• Option A: Nill. This is incorrect because the opening stock cannot be zero. If the opening stock was zero, then the cost of goods sold would be equal to the purchases, which is not the case in this question.
• Option B: Rs. 500. This is incorrect because the opening stock cannot be Rs. 500. If the opening stock was Rs. 500, then the cost of goods sold would be equal to Rs. 4400, which is not the case in this question.
• Option C: Rs. 2,000. This is the correct answer because the opening stock is equal to the closing stock plus the cost of goods sold minus the purchases.
• Option D: Rs. 4,900. This is incorrect because the opening stock cannot be Rs. 4,900. If the opening stock was Rs. 4,900, then the cost of goods sold would be zero, which is not the case in this question.