The marked price of a photo-copier machine is Rs. 72,000. The machine was sold at a 5% discount. The shopkeeper still earned a profit of 14%. Find its cost price?
The marked price of a photo-copier machine is Rs. 72,000. The machine was sold at a 5% discount. The shopkeeper still earned a profit of 14%. Find its cost price?
Explanation
Let's find the selling price (SP) after a 5% discount on the marked price (MP).
MP = Rs. 72,000
Discount = 5% of MP = 0.05 × 72,000 = Rs. 3,600
SP = MP - Discount = 72,000 - 3,600 = Rs. 68,400
The shopkeeper earned a 14% profit on the cost price (CP). Let's denote CP as x.
SP = CP + Profit
68,400 = x + 0.14x
68,400 = 1.14x
Now, find CP:
x = 68,400 / 1.14
x = 60,000