one of tea and one kg of sugar together cost Rs.95.if the price of tea falls by 10% and that of sugar rises by 20% then the price of one kg of each combined comes to Rs.90. the original price of tea in Rs per kg is
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Let cost of tea 1kg=x
and cost of sugar 1 kg=y
so... x+y=95..... [1]
when the price is changed,
price of tea=9x/10
price of sugar=12y/10=6y/9
(9x/10)+(6y/5)=90
it becomes, (9x+12y)/10=90
9x+12y=900... [2]
on solving it...
9x+9y=855... [1]
9x+12y=900.. [2]
on subtracting
y=15
x=80
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