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A shopkeeper wants to make some profit by selling oil. He contemplates various methods. Which of the following would maximize his profit? 1. Sell the oil at 20% profit. II. Use 800 g of weight instead of 1 kg. III. Mix 10% impurities in oil and selling oil at the cost price. IV. Increase the price by 5% and reduce weights by 5%.

A shopkeeper wants to make some profit by selling oil. He contemplates various methods. Which of the following would maximize his profit? 1. Sell the oil at 20% profit. II. Use 800 g of weight instead of 1 kg. III. Mix 10% impurities in oil and selling oil at the cost price. IV. Increase the price by 5% and reduce weights by 5%. Correct Answer II

 

Calculation:

We will solve this question by taking all the cases one by one.

In the first case, it is given that the profit is 20%.

For the second case, let the CP of 1 kg of oil be Rs. 100

Then CP of 800 g of oil = (100/1000)x 800

⇒Rs. 80

Hence, profit % in Case II=  

⇒25%

For case III, If he adds 10% impurity then his CP for 1 kg

= {(100/1100) x 100} 

⇒Rs. 90.90

Hence, profit % in Case III =  

⇒10.01%

and in the last case, If he reduces weight by 5%

Then cost price of 950 g = {(100/1000) x 950}

⇒Rs. 95 and SP = Rs. 105

Hence, profit % in Case IV = {(105 – 95)/95} X 100 

⇒10.52%

Hence, the profit is maximum in the second case.

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