Question : X sold a toy to Y at a profit of 50% and Y sold it to Z at a loss of 50%. If X purchased this toy for INR 12,000, then at what price did Z purchase this toy from Y?
Option 1: INR 7,580
Option 2: INR 8,500
Option 3: INR 8,000
Option 4: INR 9,000
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Correct Answer: INR 9,000
Solution : X purchased the toy for INR 12,000. X sold a toy to Y at a profit of 50%. Selling price of toy for X = Cost price of toy for Y = (100 + 50)% of 12000 $= 150\%$ of $12000$ $=\frac{150}{100}×12000$ $=18000$ Y sold it to Z at a loss of 50%. Selling price of toy for Y = Cost price of toy for Z = (100 – 50)% of 18,000 $= 50\%$ of $18000$ $=18000\times \frac{50}{100}$ $=9000$ So, Z purchased this toy from Y at INR 9,000. Hence, the correct answer is INR 9,000.
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