Multiple choice

A trader earns a profit of 20% after giving a discount of 20% on the marked price. How much percent should he reduce his marked price so that he can get a profit of 19 % after giving a discount of 12.5% on the new marked price? एक व्यापारी अंकित मूल्य पर 20% की छूट देने के बाद 20% का लाभ कमाता है। उसे अपने अंकित मूल्य को कितना प्रतिशत कम करना चाहिए ताकि नए अंकित मूल्य पर 12.5% की छूट देने के बाद उसे 19% का लाभ मिल सके?

  1. 6%

  2. 7%

  3. 9.33%

  4. 7.5 %

  5. none of these इनमे से कोई नही
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let CP = 100. After 20% profit, SP = 120. This SP is after 20% discount on MP, so 0.8 × MP = 120, MP = 150. For new scenario: Want 19% profit, so target SP = 119. This is after 12.5% discount on new MP, so 0.875 × New MP = 119, New MP = 119/0.875 = 136. Percentage reduction = (150-136)/150 × 100 = 14/150 × 100 = 9.33%.

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