A shopkeeper marks his goods at such a price that he can

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A shopkeeper marks his goods at such a price that he can deduct 20% for cash and yet make 20% profit. The marked price of an item which cost him ₹ 180 is ?

1. ₹ 270
2. ₹ 240
3. ₹ 245
4. ₹ 260

Correct Option: A

CP = ₹ 180, gain = 20%
∴ SP = (120/100) x 180 = ₹ 216
Let the MP be ₹ P.
Then, 80% of P = 216
∴ (80/100) x P = 216
⇒ P = (216 x 100)/80 = 270
Thus, MP is ₹ 270.