A shopkeeper marks a fan 60% above cost price, gives a discount of 20%, then an extra 10% on discounted price. If final price is ₹3456, find the cost price.
Show answer & explanation
Correct answer: C
Explanation
The correct answer is option 3 i.e. ₹3000.
Let cost price (CP) = 100 units
Marked price = CP + 60% of CP = 100 + 60 = 160
After 20% discount → Price = 160 × 80/100 = 128
After extra 10% discount → Price = 128 × 90/100 = 115.2
So, selling price = 115.2 when CP = 100
CPactual = 100 × (3456 ÷ 115.2)
CPactual = 100 × 30 = 3000