Question

Sanjay bought 5 notebooks and 2
pens for Rs. 120. He told to guess the
cost of each notebook and pen to his
friends Mohan and Anil. Sanjay has
given the clue that both the costs are
integers and divisible by 5 such that
the cost of a notebook is greater
than that of a pen. Now, Mohan and
Anil tried to guess. Mohan said that
price of each notebook could be Rs.
18. Then three notebooks would cost
Rs.90, the two pens would cost Rs.30
and each pen could be for Rs. 15. Anil
felt that Rs. 18 for one notebook was
too little. It should be at least Rs. 20.
Then the price of each pen would
also be Rs.10.​

Answer 1

Answer:

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Answer 2

Answer:

Answer of Anil are Correct

Step-by-step explanation:

both the costs are integers and divisible by 5

Cost of Note book  = 5X

Cost of Pen = 5Y

and X > Y  >  0

Sanjay bought 5 notebooks and 2 pens for Rs. 120.  

=> 5 *5X  + 2(5Y)  = 120

=> 5X + 2Y  = 24

5X + 2Y  = 24

=> 5X = 24 - 2Y

=> 5X  = 2(12 - Y)

X must be multiple of 2  and 12 - Y must be multiple of 5

=> Y can be 2 or  7  

Y = 2  => X = 4

Y = 7  => X = 2   not possible as X > Y

=> Y = 2  => X = 4  is only possible solution

Cost of Note book  = 5*4 = 20

Cost of Pen = 5Y = 5 * 2 = 10

answers of  Anil are correct