Question
Download Solution PDFएक व्यक्ती 5 टेबल आणि 9 खुर्च्या 15,400 रुपयांत खरेदी करतो. तो टेबल 10% नफ्याने आणि खुर्च्या 20% नफ्याने विकतो. जर सर्व टेबल आणि खुर्च्या विकल्यावर त्याचा एकूण नफा 2,080 रुपये असेल, तर 3 खुर्च्यांची खरेदी किंमत किती आहे?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDF15400 च्या 10% = 1540
15400 च्या 20% = 3080
मिश्रण पद्धत वापरणे
1540 3080
2080
1000 : 540
5 टेबल आणि 9 खुर्च्या यांच्या खरेदी किमतीचे गुणोत्तर = 1000x : 540x
1000x + 540x = 1540x
⇒ 1540x = 15400
⇒ x = 15400/1540
⇒ x = 10
9 खुर्च्यांची खरेदी किंमत = 540 × 10 = 5400
⇒ 1 खुर्चीची खरेदी किंमत = 5400/9 = 600
∴ 3 खुर्च्यांची खरेदी किंमत = 3 × 600 = 1800
सविस्तर पद्धत:
एक टेबल आणि एक खुर्चीची खरेदी किंमत अनुक्रमे x रु. आणि y रु. मानू
5x + 9y = 15400 ...1)
प्रश्नानुसार
5x × (10/100) + 9y × (20/100) = 2080
⇒ 5x/10 + 18y/10 = 2080
⇒ 5x + 18y = 20800 ...2)
समीकरण (2) मधून समीकरण (1) वजा करा.
9y = 5400
⇒ 3y = 1800
∴ 3 खुर्च्यांची खरेदी किंमत 1,800 रुपये आहे.Last updated on Jun 25, 2025
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