The cost of 4 pens is same as that of 1 note book. The total cost of x pens and x/2 note books is 15

M4maths Previous Puzzles

10 May 2012 pen and note book

The cost of 4 pens is same as that of 1 note book. The total cost of x pens and x/2 note books is 150 rupee. The maximum possible cost of the pen will be (in rupee)

OPtion

1) 10
2) 20
3) 25
4) 30
5) 40
6) 50
7) 60
8) 65
9) 70
10) none of these

Solution

according to the given condition
x pen = x/4 note book
so x/4 + x/2 = 3x/4 note book costs 150 rupee
so cost of 1 note book = 150*4/3x = 200/x
and that of pen = 50/x
now there are x/2 note books so minimum value of x will be 2
so minimum cost of pen = 50/2 = 25

Correct Option: 3 Best Solution (8)

Dr.Dipin Singh   12 years AGO

If cost of pen is P and cost of note book is 4P, then
x*P+4P*x/2 =150
3xp=150
xp=50
but x can be even no only.
then if x=2n
2nP=50
nP=25

P is max when n is minimum i.e. 1
so for n=1 , P=25
cost of 2 pens @ Rs 25 and 1 note book @ Rs 100 will be Rs 150.

The maximum possible cost of the pen will be (in rupee) Rs 25.. option 3.

Like? Yes (6) | No (3)  

Inder   12 years AGO

For max cost of pen, items should be minimum.
Min value of x can be 2.
2 pens and 1 note book will cost Rs 150.
Cost of 1 note book is equal to cost of 4 pens.
so cost of (2+4=6) pens = 150
Max cost of 1 pen = Rs 25.

Like? Yes (3) | No (1)  

Narayan Regmi   12 years AGO

Cost of 4 pens = cost of 1 Note book.
X pen + X/2 Note book = Rs. 150
For the cost be maximum, number of pen and note book should be minimum. So X=2.
Therefore 2 pens + 1 Note book = Rs. 150
6 pens = Rs 150
1 pen costs Rs 25

Like? Yes (1) | No   

Metal   12 years AGO

let q be cost of one pen. so cost of one notebook will be 4q.
now, x pen and x/2 notebooks are being purchased. so , total cost will be
xq+(x/2)*4q=150
3xq=150
=> xq=50
Now, for maximum value of q, we have to first find the minimum value for x. so it will be 2, as x/2 notebooks are purchased. and number of ny object is always a natural number. So, taking x=2,
2q=50
=> q=25
........................................

Like? Yes (1) | No   

Balakrishnan M   12 years AGO

Let P be the cost of pen.
Let N be the cost of the Note Book.
4P=1N
xP+x/2N=150
xP+(x/2)(4P)=150
3xP=150
P=150/3x
maximum possible cost of the pen will be (in rupee)=25

Like? Yes (1) | No (2)  

vignesh waran A   12 years AGO

p=>pen & N=>Notebook

4p=1N
x p + x/2 N =150
...
X(P+N)=75
x(P+4P)=75

=> X P=25

Like? Yes (1) | No (2)  

sonal   12 years AGO

4 pen=1 book
x pen + x/2 book=150
x pen +x/2*4 pen=150
3x pen= 150
x pen= 50
means price of 1 pen =50/x
v 9 that x is divisible by 2 so if v take x as 2 then price of 1 pen is 25 rs.

Like? Yes (1) | No (2)  

vinay upadhyay   12 years AGO

25*2+100*1=150

Like? Yes (1) | No (4)