Correct Answer - Option 3 : Rs. 2400
Given:
Marked price = Rs. 3200
Discount % = 15%
Profit% = 13.33% = (40/3)%
Formula used:
CP/MP = (100 - Discount %)/(100 + Profit%)
Calculation:
∵ CP/MP = (100 - Discount %)/(100 + Profit%)
⇒ CP/3200 = (100 - 15)/(100 + 40/3)
⇒ CP/3200 = 85/[(300 + 40)/3]
⇒ CP/3200 = (85 × 3)/340
⇒ CP = (85 × 3 × 3200)/340
⇒ CP = Rs. 2400
∴ The cost price of an article is Rs. 2400.