Question
Download Solution PDFदो संख्याओं का योगफल 680 है। यदि बड़ी संख्या में 15% की कमी की जाती है और छोटी संख्या में 15% की वृद्धि की जाती है, तो परिणामी संख्याएँ बराबर होती हैं। छोटी संख्या ज्ञात कीजिए।
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFदिया गया है:
दोनों संख्याओं का योगफल 680 है।
बड़ी संख्या में 15% की कमी की जाती है और छोटी संख्या में 15% की वृद्धि की जाती है।
गणना:
मान लीजिए बड़ी संख्या Q है।
छोटी संख्या = (680 - Q)
प्रश्न के अनुसार,
Q(1 - 15%) = (680 - Q)(1 + 15%)
⇒ Q/(680 - Q) = 23/17
⇒ 17Q = 23 × 680 - 23Q
⇒ 40Q = 23 × 680
⇒ Q = 23 × 17
⇒ Q = 391
इसलिए, छोटी संख्या = 680 - 391 = 289
∴ छोटी संख्या 289 है।
Last updated on Jun 13, 2025
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