The ratio between cost price and selling price of an article is p : q. If q is 200% of p then the percentage of profit on cost price is- एक वस्तु के क्रय मूल्य और विक्रय मूल्य में अनुपात p : q है। यदि q, p का 200% है तो क्रय मूल्य पर लाभ प्रतिशतता है-
C
Correct answer
Explanation
Given CP:SP = p:q and q = 200% of p = 2p. So CP:SP = p:2p = 1:2, meaning SP = 2 × CP. Profit = SP - CP = 2CP - CP = CP. Profit percent on CP = (Profit/CP) × 100 = (CP/CP) × 100 = 100%. This is straightforward ratio and percentage problem. The key is understanding that 200% means 'twice' not '200% more'. The profit equals the cost price itself, giving 100% profit.