RRB JE practice question
A shopkeeper buys 100 identical pieces of a toy for a total of ₹5000 and marks each piece at ₹80. He sells 70 pieces at a discount of 10% each. To make an overall profit of exactly 20% on his total cost, at what discount percentage must he sell each of the remaining 30 pieces?
From a RRB JE Quantitative Aptitude practice set · Quantitative Aptitude
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Correct answer: (A) 60%
SP from first 70 = 70 × 80 × 0.9 = ₹4536... let's compute exactly: 70×80=5600, ×0.9=5040. Required total SP for 20% profit = 5000×1.2 = 6000. SP needed from remaining 30 = 6000 − 5040 = 960 ⇒ SP per piece = 960/30 = ₹32. Discount per piece = (80−32)/80 ×100 = 48/80×100 = 60%.
हिंदी में प्रश्न
एक दुकानदार 100 समान खिलौने कुल ₹5000 में खरीदता है और प्रत्येक का अंकित मूल्य ₹80 रखता है। वह 70 खिलौने प्रत्येक पर 10% छूट देकर बेच देता है। अपनी कुल लागत पर ठीक 20% कुल लाभ कमाने के लिए, उसे शेष 30 खिलौनों में से प्रत्येक पर कितने प्रतिशत की छूट देनी होगी?
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सही उत्तर: (A) 60%
पहले 70 खिलौनों से विक्रय मूल्य = 70×80×0.9 = 5600×0.9 = ₹5040। 20% लाभ के लिए आवश्यक कुल विक्रय मूल्य = 5000×1.2 = 6000। शेष 30 खिलौनों से आवश्यक विक्रय मूल्य = 6000 − 5040 = 960 ⇒ प्रति खिलौना विक्रय मूल्य = 960/30 = ₹32। प्रति खिलौना छूट% = (80−32)/80 ×100 = 48/80×100 = 60%।
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