X sold a toy to Y at a profit of 50% and Y sold it Z at a loss of 50%. If X purchased this toy for ₹12,000, then at what price did Z purchase this toy from Y?
Show answer & explanation
Correct answer: D
Explanation
The correct answer is option 4 i.e. ₹9,000
Cost Price of the toy = ₹12,000
Selling Price of the toy = Cost Price + Profit
Selling Price of the toy = 12,000 + 50% of 12,000
Selling Price of the toy = 12,000 + 0.5 × 12,000 = 12,000 + 6,000 = ₹18,000
Cost Price of the toy for Y = ₹18,000
Y sold it for = 18,000 - 50% of 18,000
Y sold it for = 18,000 - 0.5 × 18,000
Y sold it for = 18,000 - 9,000 = ₹9,000
So,
Z purchase the toy from Y at ₹9,000.