Option 4 : Rs. 500

**Given:**

Subodh sold a house at a loss of 8%. If he had been able to sell it at a gain of 8%, it would have fetched Rs. 80 more than it did.

**Concept used:**

S.P = C.P × (100 + P%)/100

S.P = C.P × (100 – L%)/100

Where,

S.P → Selling price

C.P → Cost price

P% → Profit%

L% → Loss%

**Calculations:**

Let the cost price of house be 100x

Selling price of house when it is sold at 8% loss = 100x × (100 – 8)/100 = 92x

Selling price of house when it is sold at 8% gain = 100x × (100 + 8)/100 = 108x

According to the question,

⇒ 108x – 92x = 80

⇒ 16x = 80

⇒ x = 5

The cost price of the house = 100x = 500

**∴ The cost price of the house is Rs. 500**