Question:medium
A merchant wants to make profit by selling food grains. Which of the following will maximize his profit?
I. Sell product at 30% profit
II. Increase the price by 15% over the cost price and reduce weight by 15%
III. Use 700 gm of weight instead of 1 kg
IV. Mix 30% impurities in grains and sell it at cost price
A merchant wants to make profit by selling food grains. Which of the following will maximize his profit?
I. Sell product at 30% profit
II. Increase the price by 15% over the cost price and reduce weight by 15%
III. Use 700 gm of weight instead of 1 kg
IV. Mix 30% impurities in grains and sell it at cost price
I. Sell product at 30% profit
II. Increase the price by 15% over the cost price and reduce weight by 15%
III. Use 700 gm of weight instead of 1 kg
IV. Mix 30% impurities in grains and sell it at cost price
Show Hint
Compute the actual profit percent on the true cost delivered for each plan, not on the labeled weight or price.
Updated On: Jul 14, 2026
- III
- II and I
- II
- All give the same profit
Show Solution
The Correct Option is A
Solution and Explanation
Formula: Profit% = ((100+a)/(100-b) - 1)x100 where a=price hike%, b=weight cut%.
I: 30% (stated).
II: a=15,b=15: (115/85-1)x100=35.29%.
III: a=0,b=30: (100/70-1)x100=42.86%.
IV: SP=CP, 0% profit by definition.
Final Answer: III maximizes profit, option (1).
I: 30% (stated).
II: a=15,b=15: (115/85-1)x100=35.29%.
III: a=0,b=30: (100/70-1)x100=42.86%.
IV: SP=CP, 0% profit by definition.
Final Answer: III maximizes profit, option (1).
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