Question
Download Solution PDFएक विभाजन के दौरान, प्रांजल ने गलती से भाज्य के रूप में एक संख्या ले ली जो मूल भाज्य से 10% अधिक थी। उसने गलती से भाजक के रूप में एक ऐसी संख्या ले ली जो मूल भाजक से 25% अधिक थी। यदि मूल विभाजन प्रश्न का सही भागफल 25 था और शेषफल 0 था, तो यह मानते हुए कि उसकी गणना में कोई त्रुटि नहीं थी, प्रांजल ने कितना भागफल प्राप्त किया?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFदिया गया है:
नया भाज्य = 110% × मूल भाज्य
नया भाजक = 125% × मूल भाजक
प्रयुक्त सूत्र:
भाज्य = भाजक × भागफल + शेषफल
गणना:
माना मूल भाज्य = 100x
त्रुटि से वर्धित भाज्य = 100 ×110% = 110x
माना मूल भाजक = 100y
त्रुटि से वर्धित भाजक = 100y × 125% = 125y
भाज्य = भाजक × भागफल + शेषफल
100x = 100y × 25 + 0
x/y = 25/1
वर्धित भाज्य = 110x = 110 × 25 = 2750
वर्धित भाजक = 125y = 125 × 1 = 125
भागफल = 2750/125 = 22
∴ सही उत्तर 22 है।
Last updated on Jun 10, 2025
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