SOLUTION: A watch is sold at a profit of 20% on the cost price after allowing a discount of 20% on the marked price. Find the M.P of the watch is a profit of Rs. 100 is made on it.

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Question 1040298: A watch is sold at a profit of 20% on the cost price after allowing a discount of 20% on the marked price. Find the M.P of the watch is a profit of Rs. 100 is made on it.
Found 2 solutions by josmiceli, MathTherapy:
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
After taking 20% off, then there is a profit of 20%
Let +x+ = the price before taking 20% off
+.2%2A%28+x+-+.2x+%29+=+100+
+.2%2A.8x+=+100+
+.16x+=+100+
+x+=+625+
+625+-+.2%2A625+=+.8%2A625+
+.8%2A625+=+500+ is the price after discount
The MP ( marked price ) would be:
+1.2%2A500+=+600+
Rs. 600
Definitely get a 2nd opinion & check my math

Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!
A watch is sold at a profit of 20% on the cost price after allowing a discount of 20% on the marked price. Find the M.P of the watch is a profit of Rs. 100 is made on it.
Since profit = 20% = $100, cost = matrix%281%2C3%2C+100%2F.2%2C+or%2C+%22%24500%22%29
Since cost = $500, selling price = 1.2(500), or $600
Since selling price ($600) was discounted at 20%, or was 80% of the marked price, then marked price = highlight_green%28matrix%281%2C3%2C+%22%24600%22%2F.8%2C+or%2C+%22%24750%22%29%29