
Correct : c
Item P: Cost = ₹5,400, Marked Price = ₹5,860, Profit% = ---
Item Q: Cost = ---, Profit% = 25, Marked Price = ₹10,000
Ratio of Cost of P to Cost of Q = 3:4
Step 1: Find Cost of Item Q
Cost of P ÷ Cost of Q = 3 ÷ 4
5,400 ÷ Cost of Q = 3 ÷ 4
Cost of Q = 5,400 × 4 ÷ 3
Cost of Q = ₹7,200
Step 2: Find Selling Price of Item Q
Profit% = (SP − Cost) ÷ Cost × 100
25 = (SP − 7,200) ÷ 7,200 × 100
SP − 7,200 = 25 × 7,200 ÷ 100
SP − 7,200 = 1,800
SP = 7,200 + 1,800
SP of Q = ₹9,000
Step 3: Find Discount on Item Q
Discount = Marked Price − Selling Price
Discount = 10,000 − 9,000
Discount = ₹1,000
Step 4: Find Discount as % of Marked Price
Discount% = (Discount ÷ Marked Price) × 100
Discount% = (1,000 ÷ 10,000) × 100
Discount% = 10%
The discount on item Q as a percentage of its marked price = 10% (Option C)
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