Question
Download Solution PDFमोहित और सुदेश ने एक ही दुकान से पेन और नोटबुक खरीदी। मोहित ने 180 रुपये की राशि का भुगतान करके 3 पेन और 6 नोटबुक खरीदी। सुदेश ने 116 रुपये की राशि का भुगतान करके 5 पेन और 2 नोटबुक खरीदी। मोहित ने नोटबुक खरीदने में कितना खर्च किया?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFमाना,
एक पेन का मूल्य = x
एक नोटबुक का मूल्य = y
दिया है:
1) मोहित ने 180 रुपये की राशि का भुगतान करके 3 पेन और 6 नोटबुक खरीदी
=> 3x + 6y = 180
=> 3x = 180 – 6y
=> x = (180 – 6y) ÷ 3
=> x = 60 – 2y --------------- (i)
2) सुदेश ने 116 रुपये की राशि का भुगतान करके 5 पेन और 2 नोटबुक खरीदी
=> 5x + 2y = 116
समीकरण (i) से x का मान रखने पर
=> 5(60 – 2y) + 2y = 116
=> 300 – 10y + 2y = 116
=> 300 – 116 = 10y – 2y
=> 8y = 184
=> y = 23
मोहित द्वारा 6 नोटबुक खरीदने पर किया गया खर्च
=> 6y = 6 × 23 = 138
अतः, मोहित ने नोटबुक खरीदने के लिए "138 रुपये" खर्च किए।
Last updated on Jun 13, 2025
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