Correct Answer - Option 3 : Rs. 3,200
Given:
Total C.P of bicycle = 8000
Percent profit on 1st bicycle = 20%
Percent loss on 2nd 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 1st bicycle = X and C.P of 2nd bicycle = Y
X + Y = 8000 ---- (1)
There is no profit no loss, total C.P = total S.P = 8000
Profit on 1st bicycle = loss on 2nd 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 2nd bicycle is Rs. 3200.