P sells an item to Q at 47% profit. Q sells the same item to R at 50% loss. If R paid ₹ 6027 for the item, then at what price (in ₹) is the item purchased by P?

Given:

P sells to Q at 47% profit.

Q sells to R at 50% loss.

R paid ₹6027 for the item.

Formula Used:

Selling Price = Cost Price × (1 + Profit Percentage / 100)

Selling Price = Cost Price × (1 - Loss Percentage / 100)

Calculation:

Let the price at which P purchased the item be P_cost.

Q sells to R at 50% loss for ₹6027.

⇒ Q's Cost Price × (1 - 50/100) = 6027

⇒ Q's Cost Price × 0.50 = 6027

⇒ Q's Cost Price = 12054

P sells to Q at 47% profit, so Q's Cost Price is P's Selling Price.

⇒ P_cost × (1 + 47/100) = 12054

⇒ P_cost × 1.47 = 12054

⇒ P_cost = 8200

∴ The item was purchased by P at ₹8200.