Latest self Aptitude Question SOLUTION: The cost of 8 dozen pencil and 2 dozen note book is 520 rupee. If cost of 3 pencil and 4 note book is 60 rupee, then sum of the cost of 1 pencil and 1 note book will be (in rupee)

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(#M40010107) SELF question Keep an EYE

The cost of 8 dozen pencil and 2 dozen note book is 520 rupee. If cost of 3 pencil and 4 note book is 60 rupee, then sum of the cost of 1 pencil and 1 note book will be (in rupee)

ATWAL (11 years ago)

Solved chaitanya Read Solution (7)

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sonam tripathy  (11 years ago)

let cost of pencil=rs x
cost of notebook= rs y
cost of 8 dozen pencils are 96x
cost of 2 dozen pencils are 24y
cost of 3 pencils are 3x
cost of 4 notebooks are 4y
equations are
96x + 24y = 520-----1
3x +4y = 60-----2
multiplying 6 with equation (2) and then subtracting eqn (1)-eqn (2),we get
96x + 24y = 520
18x + 24y = 360
after solving the equations,we get
x=2.05
y=13.46
cost of 1 pencil and 1 notebook is 2.05+13.46=rs 15.51

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chaitanya  (11 years ago)

todays puzzle answer will be shown tomorrow

till then stay ON

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Aman  (11 years ago)

96P+24N= 520 ....... (1)

3P+4N= 60
multiplying by 72 ( as diff in number of P and N in first equation is 72)
216P+288N= 4320 .... (2)

Adding (1) and (2)
312P+312N= 4840
P+N= 4840/312= 15.51 ......... approx Rs. 15.5

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chaitanya  (11 years ago)

@ sonam
the puzzle is already solved as per the site norms

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ARUNABHA CHOUDHURY  (11 years ago)

THE ANSWER IS 15.51
EXPLANATION:

8X+2Y=520.....(1)

(3/12)X+(4/12)Y=60.....(2)

BY SUBSTITUTING EQN (1) &(2) WE GET X=24.61,Y=161.53,HERE X&Y REPRESENTS COST OF PENCIL IN DOZEN AND NOTEBOOK IN DOZEN,HENCE COST OF 1PEN IS 2.05 AND COST OF 1NOTEBOOK IS 13.46,THEREFORE SUM OF COST OF 1PENCIL AND 1NOTEBOOK IS 15.51

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IQBAL MEHDI  (11 years ago)

Let x & y are the cost of 1 pencil and 1 note book
According to the problem,
96x+24y=520---(i) [since, 1 dozen=12 qty.]
3x+4y=60-----(ii)
By solving these equations we get:
x=2.05
y=13.46
hence,x+y=15.5 ans.

proof:
------
putting the value of x & y on L.H.S of any equation suppose in equation-(ii)
L.H.S=3x+4y=3(2.05)+4(13.46)=59.99=60(apx)=R.H.S proved.

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Kalidas  (11 years ago)

Where is the solution by Chaitanya ?

I could not find it here or in today's puzzle !

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