If a person gains Rs.56 profit after giving 23% discount. If he gains 10% on it then find the marked price. यदि एक दुकानदार अंकित मूल्य पर 23% की छूट देकर 56 रू. का लाभ प्राप्त करता है । यदि उसका लाभ 10% रहा हो तो उस खिलौने का अंकित मूल्य कितना है ?

Let marked price = M. With 23% discount, selling price = 0.77M. If profit is Rs.56, then CP = 0.77M - 56. Now with 10% profit, SP = 1.10 × CP = 1.10(0.77M - 56) = 0.847M - 61.6. But this SP also equals the marked price M (since no discount mentioned for the 10% profit scenario). So M = 0.847M - 61.6, which gives 0.153M = 61.6, so M = 61.6/0.153 ≈ 402.6. But wait, let me reconsider: if 10% profit scenario also has 23% discount, then SP = 0.77M = 1.10 × CP. From first case: CP = 0.77M - 56. So 0.77M = 1.10(0.77M - 56) = 0.847M - 61.6. Then 0.077M = 61.6, M = 800. This matches option B.