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If the list price of a book is reduced by Rs. 5, then a person can buy 5 more books for Rs. 300. The original cost of the book is
(1) Rs. 15
(2) Rs. 20
(3) Rs. 25
(4) Rs. 30
Read Solution (Total 4)
-
- (2) Rs. 20
If x is earlier price, then
300/(x-5)- 300/x = 5
solving this , we get, x=20 or -15 out of which only 20 is acceptable. - 13 years agoHelpfull: Yes(15) No(3)
- Let the no. of books, a person can buy = n
Price of each book = x
The Person has 300 Rs hence,
nx=300 ...(1)
If price of each book is reduced by Rs. 5 he can buy 5 more books in 300 Rs.
(n+5)(x-5)=300
nx-5n+5x-25=300 ...(2)
from eq. 1 nx=300 and n=300/x
so eq. 2 reduces to
x^2-5x-300=0
so x=20 or -15
hence initial price of each book = 20 Rs. - 9 years agoHelpfull: Yes(3) No(1)
- Let no of books x and price =y then xy=300, (x+5)(y-5)=300 thus y-x=5 so we get 20 and 20
- 9 years agoHelpfull: Yes(2) No(1)
- Let x books bought for Rs.300. Let cost per book is Rs. y.
Then x*y=Rs.300 --(1)
by the condition another equation can be formed as ( x+5)*(y-5)=300 --(2)
=>xy+5y-5x-25=300
=>300+5y-5x-25=300
=> 5y-5x=25
=> y-x=5
Now substitute y value from (1)
=> 300/x-x=5
x2+5x-300=0 --(3)
Solving (3) we get x=15,y=20
Thus as mentioned initial cost of the book is Rs20 - 4 years agoHelpfull: Yes(0) No(0)
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