Reena purchased two books. The cost of one book was Rs.125 and the cost of the other
book was Rs. 60 less than the first book. What was the cost of the second book?
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Step-by-step explanation:
Let the number of books be = x.
Total cost of the books = Rs. 60.
∴ Cost of each book =Rs.
x
60
If the number of books is (x + 5), then the cost of each book = Rs.
x+5
60
Difference in cost is one rupee = Cost of each book when number of books is (x) - Cost of each book when number of books is (x + 5)
x
60
−
x+5
60
=1
x(x+5)
60(x+5)−60x
=1
x
2
+5x
60x+300−60x
=1
x
2
+5x=300
x
2
+5x−300=0
x
2
+20x−15x−300=0
x(x+20)−15(x+20)=0
(x+20)(x−15)=0
x+20=0 or x−15=0
∴x=−20 or x=15
∴ Number of books = x = 15
Number of books cannot be negative. Hence, -20 is rejected.
∴ Cost of each book =
x
60
=
15
60
=Rs.4
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