Correct Answer - Option 4 : Rs. 5000 and Rs. 7500
Given:
Selling Price of each shirt = Rs. 6000
Profit on first shirt = 20%
Loss on second shirt = 20%
Formula Used:
Profit % = ((SP - CP)/CP) × 100%
Loss % = ((CP - SP)/CP) × 100%
Calculation:
Let the cost price of first shirt = Rs. x
and the cost price of second shirt = Rs. y
Profit on first shirt = 20%
Profit % = ((SP - CP)/CP) × 100%
⇒ 20 = ((6000 - x)/x) × 100
⇒ 1/5 = (6000 - x)/x
⇒ x = 5(6000 - x)
⇒ x = 30000 - 5x
⇒ 6x = 30000
⇒ x = 5000
Cost price of first shirt = Rs. 5000
Loss on second shirt = 20%
Loss % = ((CP - SP)/CP) × 100%
⇒ 20 = ((y - 6000)/y) × 100
⇒ 1/5 = (y - 6000)/y
⇒ y = 5(y - 6000)
⇒ y = 5y - 30000
⇒ 4y = 30000
⇒ y = 7500
Cost price of second shirt = Rs. 7500
∴ Cost price of each shirt is Rs. 5000 and Rs. 7500 respectively.