Correct Answer - Option 1 : (100/13)%
Given:
Markup price = 30% above the cost price of a cycle.
The selling price of a cycle = Rs. 12000
Profit = 20%
Formula used:
Markup price = (cost price) × (100 + % above)/100
Cost price = selling price × (100)/(100 + profit percentage)
Discount = Markup price - Selling price
Discount percentage = (discount/markup price) × 100
Calculation:
Cost price = selling price × (100)/(100 + profit percentage)
⇒ Cost price = 12000 × 100/(100 + 20)
⇒ Cost price = 12000 × 100/120
⇒ Cost price = Rs. 10000
Markup price = 10000 × (100 + 30)/100
⇒ Markup price = Rs. 13000
Discount = 13000 – 12000
⇒ Discount = Rs. 1000
Discount percentage = (1000/13000) × 100
⇒ (100/13)%
∴ The discount percentage of a cycle is (100/13)%