Question : R’s weighing machine shows 400 gm when the actual weight is 350 gm. The cost price of almonds is INR 880 per kg and packets of 200 gm are made using the faulty machine. What should be the selling price (in INR) of each packet to get a profit of 25%?
Option 1: 197.50
Option 2: 175.50
Option 3: 182.50
Option 4: 192.50
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Correct Answer: 192.50
Solution :
The cost price of almonds = INR 880 per kg
Weight of packets sold = 200 gm
Given that the weighing machine shows 400 gm when the actual weight is 350 gm.
So, the weighing machine shows 200 gm when the actual weight is 175 gm.
The cost price of a 200 gm packet of almonds weighed by R's faulty machine = $\frac{880}{1000}\times {175}$
The selling price of a 200 gm packet of almonds weighed by R's faulty machine for 25% profit
= $\frac{880}{1000}\times {175}+0.25\times {\frac{880}{1000}\times {175}}$
= $192.50$
Hence, the correct answer is 192.50.
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