Multiple choice

A shopkeeper marks up the price of his product by 25%. If he increases the discount from 5% to 10% ,the profit would decrease by Rs 14. How much profit would he earn if he gives a discount of 15% on the marked price? एक दुकानदार ने अपने उत्पाद की कीमत 25% अधिक अंकित की। अगर वह छूट प्रतिशत 5% से 10% बढ़ाता है, तो लाभ 14 रूपए घट जाएगा । वह कितना लाभ प्राप्त करेगा यदि वह अंकित मूल्य पर 15% की छूट देता है?

  1. 5 Rs/ रूपये

  2. 10 Rs/ रूपये

  3. 25 Rs/ रूपये

  4. 35 Rs/ रूपये
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B Correct answer
Explanation

Let CP = x. MP = 1.25x. At 5% discount: SP = 1.25x × 0.95 = 1.1875x. At 10% discount: SP = 1.25x × 0.90 = 1.125x. Profit difference = (1.1875x - 1.1255x) = 0.0625x = Rs 14, so x = 224. At 15% discount: SP = 1.25 × 224 × 0.85 = Rs 238. Profit = 238 - 224 = Rs 10.

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