.The price of a book is 4 rupees more than the price of a pen. The price of a pencil is 2 rupees less than the price of the pen. The total price of 5 books, 2 pens and 3 pencils is 74 rupees. What is the price of each
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Answer:
Price of Pen = ₹6
Price of Book = ₹10
Price of Pencil = ₹4
Step-by-step explanation:
Let the Price of pen be x.
Then,
Price of Book = x+4
and
Price of Pencil = x-2
According to question,
Total price of 5 books, 2 pens and 3 pencils is 74 rupees.
= [5(x+4)] + (2×x) + 3(x-2) = 74
= (5x + 20) + 2x + (3x - 6) = 74
= 5x + 20 + 2x + 3x - 6 = 74
= 10x + 14 = 74
= 10x = 74 - 14
= 10x = 60
= x = 60/10 = 6
Price of Pen = x = ₹6
Price of Book = x+4 = 6 + 4 = ₹10
Price of Pencil = x-2 = 6 - 2 = ₹4
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