An art dealer sells a painting for Rs.6,600, making a profit of 10% after paying Rs. 600 in restoration charges.

iven:

• Selling Price (S.P.) = Rs 6,600

• Profit = 10%

• Restoration charges = Rs 600

We need to find the original purchase price (C.P.).

Step 1: Let the effective cost price including restoration be $C$

Profit = 10%, so:

$S.P. = C \times \left(1 + \frac{10}{100}\right) = C \times 1.1$

Substitute $S.P. = 6600$:

$6600 = C \times 1.1$

$C = \frac{6600}{1.1} = 6000$

Step 2: Deduct restoration charges to get original purchase price

Original C.P. = $C - \text{Restoration charges} = 6000 - 600 = 5400$

✅ Answer: Original purchase price = Rs 5,400