Two pens and three diaries cost ₹ 540, three pens and two diaries cost ₹ 380. find the cost of a pen and that of a diary.
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let pen be X . diaries be y .
according to question
2x+3y =540. -1
3x+2y=380 .-2
on multiple by 2 in equation 1 we get 4x+6y=1080.
again multiple by 3 in equation 2 we get 9x+6y=1140 .
on subtracting equation I from 2 we get X=12 .
now putting the value of X=12 in equation 1 we get y=172 .
since cost of pen is 12 rupees
and cost of diaries is 172 rupees .
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