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 × 53
⇒ CP = 500
⇒ 4 × 125
⇒ 4 × 53
⇒ D is correct
∴ A, B, and D are correct