Question
Download Solution PDFCost of 4 pens, 6 notebooks and 9 files is Rs. 305. Cost of 3 pens, 4 notebooks and 2 files is Rs. 145. What is the cost (in Rs) of 5 pens, 8 notebooks and 16 files?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFLet the price of one pen be Rs. P, one notebook be Rs. N and one file be Rs. F
According to the problem statement
⇒ 4P + 6N + 9F = 305 ---- (i)
⇒ 3P + 4N + 2F = 145 ---- (ii)
Now 2 × (i) – (ii)
⇒ (8 – 3)P + (12 – 4)N + (18 – 2)F = 5P + 8N + 16F = 2 × 305 – 145 = 465
∴ The cost of 5 pens, 8 notebooks and 16 files is Rs. 465Last updated on Jul 14, 2025
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