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
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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