5 books and 7 pens together cost Rs.285. 4 books and 4 pens together cost Rs.220. Mohit purchased 3 books and 5 pens and calculated total cost to be Rs.195. He paid Rs.195 to the shopkeeper. Shopkeeper rechecked and returned some money to mohit. a) How much money did the shopkeeper return to mohit? b) What value is depicted by the shopkeeper?
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Let us assume the cost of a book is b Rs and cost of a pen is p RsGiven:5b + 7p = 285Rs --------------1Again given that4b + 4p = 220Rs ---------------2This can be rewritten asb + p = 55 -------- 2a
Multiplying equation 2a by 5, we get
5b + 5p = 275 ------- 2bSubtracting 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 getb + 5 = 55 or b = 50
Since Mohit bought 3 books and 5 pens, his cost was3 x 50 + 5 x 5 = 150 + 25 = 175.
Mohit gave the shopkeeper `195, the shopkeeper gave him back, 195 – 175 = `20.
a. The amount returned by the shopkeeper was `20.b. This shows that the shopkeeper displayed his honesty and sincerity as his values.
Multiplying equation 2a by 5, we get
5b + 5p = 275 ------- 2bSubtracting 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 getb + 5 = 55 or b = 50
Since Mohit bought 3 books and 5 pens, his cost was3 x 50 + 5 x 5 = 150 + 25 = 175.
Mohit gave the shopkeeper `195, the shopkeeper gave him back, 195 – 175 = `20.
a. The amount returned by the shopkeeper was `20.b. This shows that the shopkeeper displayed his honesty and sincerity as his values.
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