Question
Download Solution PDFరెండు సంఖ్యల మొత్తం 680. పెద్ద సంఖ్యను 15% తగ్గించి, చిన్న సంఖ్యను 15% పెంచితే, ఫలిత సంఖ్యలు సమానంగా ఉంటాయి. చిన్న సంఖ్యను కనుగొనండి?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFఇచ్చినది:
రెండు సంఖ్యల మొత్తం 680.
పెద్ద సంఖ్య 15% తగ్గింది మరియు చిన్న సంఖ్య 15% పెరిగింది.
గణన:
పెద్ద సంఖ్య Q అని అనుకుందాం.
చిన్న సంఖ్య = (680 - Q)
ప్రశ్న ప్రకారం,
Q(1 - 15%) = (680 - Q)(1 + 15%)
⇒ Q/(680 - Q) = 23/17
⇒ 17Q = 23 × 680 - 23Q
⇒ 40Q = 23 × 680
⇒ Q = 23 × 17
⇒ Q = 391
కాబట్టి, చిన్న సంఖ్య = 680 - 391 = 289
∴ చిన్న సంఖ్య 289.
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