5 books and 7pen together cost 285Rs .4books and 4 pens together cost Rs 220.monu purchased 3books and 5pens and calculated total costto be Rs195tothe shopkeeper. Shopkeper rechecked and returned some money to manu .
1.how much money did the shopkeeper returned to monu
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1 book is 50 and 1 pen is 5.
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Let us assume the cost of a book is Rs b and cost of a pen is Rs p.
Given:
5b + 7p = 285Rs --------------1
Again given that
4b + 4p = 220Rs ---------------2
This can be rewritten as
b + p = 55 -------- 2a
Multiplying equation 2a by 5, we get
5b + 5p = 275 ------- 2b
Subtracting equation 2b from 1, we get
5b + 7p = 285
-5b - 5p = -275
--------------------
2p = 10
Or p = 10/2 = 5
Substituting the value of p = 5 in b + p = 55, we get
b + 5 = 55
or b = 50
Since Monu bought 3 books and 5 pens, his cost was
3 x 50 + 5 x 5 = 150 + 25 = 175.
Monu gave the shopkeeper `195, the shopkeeper gave him back, 195 – 175 = `20.
1. The amount returned by the shopkeeper was `20.
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