Correct Answer - Option 3 : Rs. 3,200

**Given:**

Total C.P of bicycle = 8000

Percent profit on 1^{st} bicycle = 20%

Percent loss on 2^{nd} bicycle = 30%

Total C.P = total S.P

**Formula Used:**

Percent profit/loss = (profit/loss)/C.P × 100

**Concept used:**

Profit and loss is always calculated on C.P

**Calculation:**

Total C.P = 8000

Let, C.P of 1^{st} bicycle = X and C.P of 2^{nd} bicycle = Y

X + Y = 8000 ---- (1)

There is no profit no loss, total C.P = total S.P = 8000

Profit on 1^{st} bicycle = loss on 2^{nd} bicycle

⇒ 20% of X = 30% of Y

⇒ X/Y = 3/2 or X ∶ Y = 3 ∶ 2

⇒ Y = (2/5) × 8000 = 3200

**∴ The C.P of 2**^{nd} bicycle is Rs. 3200.