Correct Answer - Option 2 :

A, B, and D
**Given: **

First SP = Rs. 625

Second SP = Rs. 475

Loss = (1/5)Profit

**Formula Used: **

Profit = SP – CP

Loss = CP – SP

Where CP is cost price and SP is selling price.

**Calculation:**

Profit = 625 – CP

Loss = CP – 475

Loss = (1/5)Profit

⇒ CP – 475 = 1/5(625 – CP)

⇒ CP – 475 = 125 – (1/5)CP

⇒ (6/5)CP = 600

⇒ CP = 600 × 5/6

⇒ CP = 500

⇒ **CP = Rs. 500**

A. CP < first SP – 100

first SP – 100 = 625 – 100

⇒ 525

⇒ CP = 500 < 525

⇒ A is correct

B. CP > Second SP

500 > 475

⇒ B is correct

C. 500 < CP < 600

CP = Rs. 500

⇒ 500 = CP < 600

⇒ C is incorrect

D. CP ≤ 4 × 5^{3}

⇒ CP = 500

⇒ 4 × 125

⇒ 4 × 5^{3}

⇒ D is correct

**∴** **A, B, and D are correct**