Dell
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Numerical Ability
Age Problem
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
a)Rs.15
b)Rs.20
c)Rs.25
d)Rs.30
Read Solution (Total 15)
-
- by the options
take 20rs then books come in 300= 300/20= 15
now rate decease by 5rs then cost is 15, so book come in 300= 300/15=> 20
its satisfy the condition 5 extra book we can buy.
- 12 years agoHelpfull: Yes(17) No(7)
- ans b)20
300/(x-5)-300/x=5
x=20 - 12 years agoHelpfull: Yes(12) No(0)
- b)Rs.20
Let list price be rs.x
so, 5+(300/x)=300/(x-5)
(5x+300)/x=300/(x-5)
(5x+300)*(x-5)=300x
5x^2+275x-1500=300x
5x^2-25x-1500=0
x^2-5x-300=0
x^2-20x+15x-300=0
(x-20)(x+15)=0
x=20 & -15
but -15 is not possible so x=20 ans. - 11 years agoHelpfull: Yes(4) No(2)
- the answer is rs 20.
- 12 years agoHelpfull: Yes(3) No(7)
- 20/- is answer
total no of books bought will be 15
so cost will be 15*15=225
again 5 more books can be bought
price for 1 book is 15
so 15*5=75
225+75=300/- - 10 years agoHelpfull: Yes(2) No(0)
- let orgnal price 20, 300/20=15books, price reduced 15*5=75..
- 12 years agoHelpfull: Yes(0) No(12)
- Let 'x' be the no of book that we buy with 5 rupee less from the original book price and we buy 5 more books with the rest money each costing original book price.
so the no of cases arises are
Case 1:
x(15-5)+5(15)=300
Solving this equation we get the value of x =22.5 (which is a fraction value)
so this case is not possible.
Case 2:
x(20-5)+5(20)=300
Solving this equation we get the value of x =13.33 (which is a fraction value)
so this case is not possible.
Case 3:
x(25-5)+5(25)=300
Solving this equation we get the value of x =8.75 (which is a fraction value)
so this case is not possible.
Case 4:
x(30-5)+5(30)=300
Here we get the value of x =6 (which can be possibly a no. of book, so the original price of the book is 30).
Answer Question
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- 11 years agoHelpfull: Yes(0) No(3)
- 15...
let the number of books initially to be bought be n and the cost price be x.
n*x=300.
after reduction,,
(x-5)(n+5)=300.
on solving,
x=15
- 11 years agoHelpfull: Yes(0) No(0)
- ithink its answar is 25
- 11 years agoHelpfull: Yes(0) No(2)
- answer is b)Rs.20
- 11 years agoHelpfull: Yes(0) No(0)
- 20 will be its initial price
- 10 years agoHelpfull: Yes(0) No(0)
- b is correct ans
- 10 years agoHelpfull: Yes(0) No(0)
- book no=n && price/book=x
300/n=x.....(I)
300/(n-5)=x+5...(II)
solve I && II
n=20/-15
Ans. is 20 - 10 years agoHelpfull: Yes(0) No(0)
- no.of books be x
x+5------300/-
x(x+5)=300
or lets check with 20/-
then no.of books will be 300/20=15
if we reduce the price by 5 and increase the no.of books by 5 then we must get 300/- cost total..
15/- * 20 books =300/-
so,original cost might be 20/-....
- 10 years agoHelpfull: Yes(0) No(0)
- Let the no. of books be - n
Let original cost be - x
For cost price of x, person buy n books for 300 rupees.
300/n=x -1
If cost price reduced by 5, (x- 5 )
Person buy (n+5) books for 300 rupees
300/n+5=(x-5) -2
Solve equation 1&2
Gives value of number of books, n=15
Put this value of n in 1 equation
Gives the original cost x = 20. - 8 years agoHelpfull: Yes(0) No(1)
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