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A company produces bottles. A distributor gets ₹1000 commission for every 50 bottles sold. He marks the price 30% above cost and allows a discount of Y%. He sells X bottles, which are 40 fewer than received. Total production cost = ₹7.8 lakhs. Commission = ₹7000. Profit = ₹1.4 lakhs. If the company added the given commission to the cost price and he gave a stock of (X + 450) bottles to another distributor who sold all the stock, then find the new cost price of one bottle.

1. 2200 Rs.
2. 2020 Rs.
3. 2040 Rs.
4. 2060 Rs.

Correct answer: 2040 Rs.

Solution

The commission of ₹7000 at ₹1000 per 50 bottles implies 350 bottles sold. Since these are 40 fewer than received, the received stock is 390 bottles. Using the total production cost and profit, the revised cost after adding commission leads to a new per-bottle cost of ₹2040.

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