వినోద్ మరియు మనోజ్ల ప్రస్తుత వేతనాల నిష్పత్తి 6 : 7. వారిద్దరూ వేతనాలు పెంచితే రూ. 16,000, అప్పుడు నిష్పత్తి 8 : 9 అవుతుంది. అయితే ప్రస్తుతం మనోజ్ జీతం కనుగొనండి?

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  1. రూ. 48,000
  2. రూ. 72,000
  3. రూ. 56,000
  4. రూ. 64,000

Answer (Detailed Solution Below)

Option 3 : రూ. 56,000
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Detailed Solution

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ఇచ్చినది,

వినోద్ మరియు మనోజ్‌ల ప్రస్తుత వేతనాల నిష్పత్తి 6 : 7

ఇద్దరికీ జీతాలు పెంచితే రూ. 16,000, అప్పుడు వారి జీతాల నిష్పత్తి 8 : 9 అవుతుంది.

గణన:

వినోద్ మరియు మనోజ్‌ల ప్రస్తుత వేతనాలు వరుసగా 6x మరియు 7x అనుకుందాం

ప్రశ్న ప్రకారం

(6x + 16000) / (7x + 16000) = 8/9

⇒ 9 (6x + 16000) = 8 (7x + 16000)

⇒ 54x + 144000 = 56x + 128000

⇒ 56x – 54x = 144000 – 128000

⇒ 2x = 16000

⇒ x = 16000/2

⇒ x = 8000

∴ మనోజ్ ప్రస్తుత జీతం = 7 × 8000 = రూ. 56,000.

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